Question

Are the triangles to the right congruent? EXPLAIN YOUR ANSWER

Answer 1

Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.

Explanation:

Answer 2

Yes, they are congruent

Explanation:

Using Pythagorean theorem in ΔMNP,

Base² + altitude² = hypotenuse²

MP² + 28² = 35²

MP² + 784 = 1225

MP² = 1125 - 784 = 441

MP =√441

MP = 21

As per RH congruent rule,

Hypotenuse NP ≅ RS and

Any one leg , here MP = RQ = 21'