Question

What is the value of X enter your answer in the box

Answer 1

Explanation:

Set up the following ratio which applies to all angle bisectors and the side opposite.

8 / (x + 4) = 12 / (2x + 1) Cross multiply

8 * (2x + 1) = 12 * (x + 4)

16x + 8 = 12x + 48 Subtract 8 from both sides

16x + 8 -8 = 12x + 48-8

16x = 12x + 40 Subtract 12x from both sides

16x - 12x = 40

4x = 40 Divide by 4

4x/4 = 40/4

x = 10