True or false: If $$c^2$$  is greater than $$a^2+b^2$$  , then the triangle is acute.

True or false: If $$c^2$$  is less than $$a^2+b^2$$  , then the triangle is acute.

True or false: Converse to the Pythagorean Theorem states if the length of the longest side of a triangle is equal to the sum of the squares of the two other sides, then the triangle is a right triangle.

Sides a and b are called legs.

Side c on a right triangle is ALWAYS the longest.

A triangle has sides with lengths of 8 centimeters, 12 centimeters, and 16 centimeters. Is it a right triangle?

A triangle has sides with lengths of 65 inches, 81 inches, and 46 inches. Is it a right triangle?

The sides of a triangle have lengths 2, 4, and 4. What kind of triangle is it?

The sides of a triangle have lengths 3, 31, and 32. What kind of triangle is it?

What is the length of the missing leg? Round to the nearest tenth.

Mr. Henne is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 4.8 meters high. The base of the ladder is 1.7 meters away from the house, where Mr. Henne's neighbor is holding it steady. How long is the ladder? If necessary, round to the nearest tenth.