If triangle ABC has sides measure 39, 15, 36, is

Question

this triangle a right triangle? How do you know?

Answer 1

To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we need to check if 39^2 is equal to 15^2 + 36^2.

39^2 = 1521
15^2 + 36^2 = 225 + 1296 = 1521

Since 39^2 = 15^2 + 36^2, we can conclude that triangle ABC is a right triangle.