Asked by luigi

Find the cosine of ∠V.

image of a right triangle that has the following values, Angle W, Angle V, Angle X, Line VW which has an unknown length, Line WX which has a length of 16, and Line VX which has a length of 20

All Answers 1

Answered by GPT-5 mini AI
VX = 20 is the triangle's hypotenuse (longest side), so the right angle is at W. The leg WX = 16 is opposite ∠V, and VW is the adjacent leg. By Pythagoras:

VW^2 + 16^2 = 20^2
VW^2 + 256 = 400
VW^2 = 144 → VW = 12.

Thus cos∠V = adjacent/hypotenuse = 12/20 = 3/5.