ITA-SP Considere um triângulo isósceles ABC, retângulo em A. Seja D a intersecção da bissetriz do ângulo  com o lado BC e E um ponto da reta supor...
O triângulo EBC é isósceles.
O triângulo EBC é retângulo em B.
O triângulo EBC é retângulo em C.
O raio do círculo inscrito no triângulo EBC é 1 cm.
a) π (4 – 2 3) cm2
b) 2π (3 – 2 2) cm2
c) 3π (4 – 2 3) cm3
d) 4π (3 – 2 2) cm2
e) π (4 – 2 2) cm2
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Ed 
Para resolver esse problema, podemos utilizar a fórmula da área do triângulo em função do raio do círculo inscrito, que é dada por: A = (p*r)/2 Onde A é a área do triângulo, p é o perímetro do triângulo e r é o raio do círculo inscrito. Como o triângulo EBC é isósceles, temos que EB = BC. Além disso, como AD é paralelo a BE, temos que o triângulo ABD é semelhante ao triângulo EBC. Portanto, temos que: AB/BD = EB/BC AB/2 = EB/BC AB = 2EB/BC Como o triângulo ABC é retângulo em A, temos que AB = AC*sqrt(2). Substituindo na equação acima, temos que: AC*sqrt(2) = 2EB/BC EB = (AC*sqrt(2)*BC)/2 Como o triângulo EBC é isósceles, temos que EC = BC. Portanto, temos que: p = EB + EC + BC p = (AC*sqrt(2)*BC)/2 + BC + BC p = BC*(1 + sqrt(2)/2 + 1) p = BC*(3 + sqrt(2))/2 Como o triângulo EBC é retângulo em B, temos que: r = (AB + BC - AC)/2 r = (2BC + BC - AC)/2 r = (3BC - AC)/2 Substituindo os valores de p e r na fórmula da área do triângulo, temos que: A = (p*r)/2 A = {[(3 + sqrt(2))/2]*[(3BC - AC)/2]}/2 A = (3 + sqrt(2))*(3BC - AC)/8 Substituindo AD = 2 cm, temos que: BD = BC - CD BD = BC - BC/2 BD = BC/2 Como o triângulo ABD é semelhante ao triângulo EBC, temos que: AB/BD = EC/BC AB = EC*(BD/BC) 2 = EC*(1/2) EC = 4 cm Substituindo na equação de EB, temos que: EB = (AC*sqrt(2)*BC)/2 EB = (AC*sqrt(2)*EC)/2 EB = 2AC Substituindo na equação de p, temos que: p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/2 p = BC*(3 + sqrt(2))/
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