What is the value of x? Enter your answer in the box.

Question

asked Mar 19, 2019 210k views

1 Answer

Vahid Farahmand · Answer 1 · 2019-03-23T20:49:36+0000

From the picture you can see that TY bisects angle T.

Use the bisector property:

(TK)/(KY) =(TV)/(VY) .

If YK=68 mm and VK=x mm, then VY=x-68 mm.

Then
(129.2)/(68) =(57)/(x-68) .

Express x-68:

$x-68=(57\cdot 68)/(129.2)=30$ mm.

Therefore, x=30+68=98 mm.

Answer: x=98 mm.