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). Formula: a² + b² = c².

Front

What is the formula for finding the hypotenuse?

Back

The formula for finding the hypotenuse in a right triangle is 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 longest side of a right triangle called?

Back

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

Front

If one leg of a right triangle is 8 and the other leg is 6, what is the length of the hypotenuse?

Back

The hypotenuse is 10 (using the formula: 8² + 6² = c²; 64 + 36 = 100; c = √100 = 10).

Front

If the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Back

The other leg is 12 (using the formula: 5² + b² = 13²; 25 + b² = 169; b² = 144; b = √144 = 12).

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.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

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

If a right triangle has legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

The hypotenuse is 15 (9² + 12² = c²; 81 + 144 = 225; c = √225 = 15).