Question

The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse of the Pythagorean theorem

Answer 1

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12 12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164