Question

ultilize semelhança de triângulos, calcule x e y ?

Answer 1

a) 6 / 4 = x+6 / 6
4*(x+6) = 6 * 6
4x + 24 = 36
4x = 36 - 24
4x = 12
x = 12 / 4
x = 3

6 / 4 = y + 4 / y
6 * y = 4 * (y+4)
6y = 4y + 16
6y - 4y = 16
2y = 16
y = 16/2
y = 8



b) 15 / 10 = y+18 / 18
10 * (y+18) = 15 * 18
10y + 180 = 270
10y = 270 - 180
10y = 90
y = 90/10
y = 9

10+x / 15 = x / 10
10 * (10+x) = 15 * x
100 + 10x = 15x
5x = 100
x = 100 / 5
x = 20