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Are the triangles to the right congruent? EXPLAIN YOUR ANSWER

Are the triangles to the right congruent? EXPLAIN YOUR ANSWER-example-1
User Carline
by
8.2k points

2 Answers

5 votes

Answer:

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:

User Alchi Baucha
by
8.5k points
3 votes

Answer:

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'

User Kopelitsa
by
8.1k points

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