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: a² + b² = c².

The Pythagorean Theorem applies only to right triangles.

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

In a right triangle, the hypotenuse is always the longest side.

False. The Pythagorean Theorem only applies to right triangles.

The formula is a² + b² = c².

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

An acute triangle is a triangle where all three angles are less than 90 degrees.

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Use the Pythagorean Theorem: If a² + b² > c², it's acute; if a² + b² = c², it's right; if a² + b² < c², it's obtuse.