Question

If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a triangle.

Answer 1

Answer: In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. Legs (a and b): the sides of the triangle adjacent to the right angle. They don't need to be the same length in order for this theorem to work.

Answer 2

If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a RIGHT triangle.

Explanation:

We know that in a right angled triangle the Pythagorean Theorem hold true.

According to Pythagorean Theorem:

If the three sides lengths of a triangle are a,b and c respectively such that:

`c^2=a^2+b^2`

Then such a triangle is a right triangle with hypotenuse c and other two legs of triangle as a and b.

Hence, the answer is:

The triangle is not a right triangle.