Question

Which of the following are true statements. The lengths 14, 24 and 26 can not be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can not be sides of a right triangle. The lengths 14, 24 and 26 can not be sides of a right triangle. The lengths 30, 72, and 78 can not be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle. .

Answer 1

The Pythagorean Theorem would be useful here. If you have a triangle with side lengths a, b and c, and c is the longest side, then the triangle is a right triangle only if a^2 + b^2 = c^2.

Look at side lengths 14, 24 and 26. Does 14^2 + 24^2 = 26^2?

Does 196 + 576 = 676? NO.

In this particular case we do NOT have

a right triangle.