Pythagorean Theorem Basics

Front

What is the Pythagorean Theorem?

Back

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.

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies only to right triangles.

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

What type of angle is formed by the legs of a right triangle?

Back

The legs of a right triangle form a right angle.

Front

If one leg of a right triangle measures 16 and the other leg measures 30, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 16² + 30²; c² = 256 + 900; c² = 1156; c = √1156 = 34.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The relationship is that the sum of the squares of the two legs equals the square of the hypotenuse.

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

If the hypotenuse of a right triangle is 40 and one leg is 30, what is the length of the other leg?

Back

Using the Pythagorean Theorem: c² = a² + b²; 40² = 30² + b²; 1600 = 900 + b²; b² = 700; b = √700 ≈ 26.46.

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.