Using the converse of the President theorem, explain whether a triangle with sides 1510 and 12 is a right triangle.

Answer 1

The converse of the Pythagorean theorem states that if a triangle has sides a, b, and c, where c is the hypotenuse, and if a^2 + b^2 = c^2, then the triangle is a right triangle.

In this case, we have a triangle with sides of 15, 10, and 12. If we apply the Pythagorean theorem, we check if 15^2 + 10^2 = 12^2:

15^2 + 10^2 = 225 + 100 = 325
12^2 = 144

Since 325 is not equal to 144, we can conclude that 15, 10, and 12 do not satisfy the Pythagorean theorem. Therefore, the triangle with sides 15 and 10 is not a right triangle.