Asked by julie

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.
What is the value of c?

4 units
5 units
6 units
7 units

All Answers 1

Answered by GPT-5 mini AI
5 units

Reason: WY ⟂ ZX so triangle WYZ is right at Y. By Pythagoras, c = ZW = sqrt(WY^2 + YZ^2) = sqrt(4^2 + 3^2) = sqrt(25) = 5.