Does 5 12 and 14 form a right triangle

Answer 1

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

In this case, considering the sides with lengths 5, 12, and 14, we need to check if:

5^2 + 12^2 = 14^2.

If this equation holds true, then the triangle is a right triangle.

Calculating the expressions:

25 + 144 = 196.

This equation is not valid since 25 + 144 is equal to 169, not 196. Therefore, the triangle with sides of lengths 5, 12, and 14 does not form a right triangle.