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Maths Exercices

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 24 meters, 32 meters, and 40 meters. Is it a right triangle?

A. Yes
B. No