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Answer :
Final answer:
The Pythagorean theorem helps prove congruency of triangles using the SSS and SAS criteria.
Explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. It can be written as a² + b² = c², where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.
Using this theorem, we can prove congruency of triangles using the Side-Side-Side (SSS) and Side-Angle-Side (SAS) criteria. For SSS, if all corresponding sides of two triangles are equal, the triangles are congruent. For SAS, if two sides and the included angle of two triangles are equal, the triangles are congruent.
It is important to use the appropriate congruency criteria and the given information to prove the congruence of triangles.
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