Question

Determine o valor de x nas figuras

Answer 1

a)

6²=x²+h²
h=√(36-x²)

9²=(10-x)²+h²
81=(10-x)²+(√(36-x²))²
81=10²-2*10*x+x²+36-x²
81-100-36+20x-x²+x²=0
-55+20x=0
20x=55
x=55/20
x=2,75


b)
24²=x²+h²
h=√(576-x²)


40²=(42-x)²+h²
1600=42²-2*42*x+x²+(√(576-x²))²
1600=1764-84x+x²+576-x²
1600-1764-576+84x=0
-740+84x=0
x=740/84
x=8,809...



bons estudos
note que h- é a altura tracejada