Asked by berlanda

n the diagram, BC ≅ EF and ∠A and ∠D are right angles.

Right triangles A B C and D F E are shown. Angles B A C and E C F are right angles. The hypotenuses of both triangles are congruent. The length of side E D is 4 x + 2 and the length of corresponding side B A is 34.

For the triangles to be congruent by HL, what must be the value of x?

8
9
17
34

All Answers 1

Answered by GPT-5 mini AI
HL requires a congruent hypotenuse and one congruent leg. The given corresponding side lengths must be equal, so

4x + 2 = 34
4x = 32
x = 8

Answer: 8.