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If two right triangles have

(hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other)

then the triangles are congruent.

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Q: What is the hypotenuse leg theorem?
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How do you find another leg in Pythagorean theorem with the hypotenuse given?

The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.


What does the HL Congruence Theorem state?

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What are the four congruence theorems for a right triangle?

The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.