Question

What is the value of x?

Enter your answer in the box.
cm
Triangle V T K with segment T Y such that Y is on segment V K, between V and K. Angle V T Y is congruent to angle Y T K. V T equals 95.2 centimeters, V Y equals 34 centimeters, V K equals x, and T K equals 168 centimeters.

Answer 1

94

Explanation:

Answer 2

The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides
VT/TK = VY/YK
95.2/168 = 34/YK
YK = (168·34)/95.2 = 60 cm
x = VY + YK = 34 + 60 = 94 cm