Pythagorean Theorem

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 ONLY works on right triangles.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

If one leg of a right triangle is 5 cm and the other leg is 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 5² + 12²; c² = 25 + 144; c² = 169; c = 13 cm.

Front

What is a leg in a right triangle?

Back

A leg is one of the two shorter sides of a right triangle that form the right angle.

Front

If the hypotenuse is 10 cm and one leg is 6 cm, how do you find the length of the other leg?

Back

Use the Pythagorean Theorem: a² + 6² = 10²; a² + 36 = 100; a² = 64; a = 8 cm.

Front

What is the formula to find the length of a missing side in a right triangle?

Back

The formula is a² + b² = c², where c is the hypotenuse and a and b are the legs.

Front

In a right triangle, if one leg is 8 cm and the hypotenuse is 10 cm, what is the length of the other leg?

Back

Using the Pythagorean Theorem: a² + 8² = 10²; a² + 64 = 100; a² = 36; a = 6 cm.

Front

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

Back

The sum of the squares of the two legs equals the square of the hypotenuse.

Front

Can the Pythagorean Theorem be used for obtuse or acute triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.