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# Converse of the Pythagorean theorem: is it a right triangle?

Converse of the Pythagorean Theorem
 In a triangle with sides a, b and c, if a2+b2=c2 then it is a right triangle Are these right triangles?  Solution:
We can use the Converse of the Pythagorean Theorem to find if the triangles are right triangles.
If the equation a2+b2=c2 is true, then we will have a right triangle.

For the first triangle: a2+b2=c2 122+352=362 The first triangle is not a right triangle.

For the second triangle: a2+b2=c2 152+362=392 1521=1521 The second triangle is a right triangle

A triangle has sides with lengths of 16 meters, 30 meters, and 34 meters. Is it a right triangle?

A. Yes
B. No