Question

Triangle ADC is similar to triangle AEB. Find y.

Triangle ADC is similar to triangle AEB. Triangle AEB is inside Triangle ADC. Side AB is 12, side AE is y – 6, side AC is 12 + 8, and side AD is y.

Answer 1

y = 15

Explanation:

`(AB)/(AE) =(AC)/(AD) \\\\\\(12)/(y - 6) = (12+8)/(y) \\\\12y = 20(y-6) \\\\12y = 20y -120 \\\\-8y = -120 \\\\y = 15`