Pythagorean Theorem

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

The Pythagorean Theorem ONLY works on right triangles.

The legs of a right triangle are the two sides that form the right angle, commonly referred to as sides a and b.

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10.

False. The Pythagorean Theorem can only be used for right triangles.

The formula is c² = a² + b².

Using the Pythagorean Theorem: 13² = 5² + b²; 169 = 25 + b²; b² = 144; b = 12.

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.