Answer:
Yes, they are congruent
Step-by-step 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'
Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.
