Using Converse of the Pythagorean Theorem, explain whether a triangle with sides 15,110, and 12 is a right triangle.

Answer 1

To determine if a triangle is a right triangle using the Converse of the Pythagorean Theorem, we need to check if the square of the longest side is equal to the sum of the squares of the other two sides.

In this case, the longest side is 110.
So, we need to check if 110^2 = 15^2 + 12^2
110^2 = 12100
15^2 + 12^2 = 225 + 144 = 369

Since 110^2 is not equal to 15^2 + 12^2, the triangle with sides 15, 110, and 12 is not a right triangle.