Question

What is the value of X

Answer 1

Answer:

27=x

Step-by-step explanation:

We can use the triangle angle bisector theorem

x+8            2x-5

--------- = ------------

10                14

Using cross products

14(x+8) = 10 (2x-5)

Distribute

14x +112 = 20x -50

Subtract 14x from each side

14x-14x +112 = 20x-14x -50

112 = 6x-50

Add 50 to each side

112+50 = 6x-50+50

162 = 6x

Divide by 6

162/6 = 6x/6

27=x