Question

Find the value of x.

Answer 1

x = 5

Explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

`(x-1)/(x-2) = (12)/(9)\\\\(x-1)/(x-2) = (4)/(3)\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5`