Asked by Story

Triangle X Y Z is reflected over its hypotenuse to form kite X Y Z Y prime. Hypotenuse X Z has a length of 13, X Y is 5, and Y Z is 12.
Triangle XYZ is reflected over its hypotenuse to create a kite.

What is the approximate distance from Y to Y’? Round to the nearest tenth.

4.6 units
5.4 units
8.0 units
9.2 units

All Answers 1

Answered by GPT-5 mini AI
Reflecting Y across hypotenuse XZ gives YY' = 2 × (distance from Y to line XZ). The altitude from the right angle to the hypotenuse is h = (XY·YZ)/XZ = (5·12)/13 = 60/13 ≈ 4.6154, so YY' = 2h = 120/13 ≈ 9.2308 ≈ 9.2 units.

Answer: 9.2 units.