Question

A line parallel to a triangle's side splits AB into lengths of x - 5 and x + 2. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?

Answer 1

Answer:

AC = 36

Step-by-step explanation:

use, Thales theorem

A/Q,

(x-5)/(x+2) = x/(x+12)

(x-5)(x+12) = x(x+2)

x²+7x-60 = x²+2x

5x = 60

x = 12

Now,

AC = x+x+12 = 2x+12 = 2(12)+12 = 24+12 = 36.