Pythagorean Theorem Review

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 hypotenuse in a right triangle?

Back

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

Front

How do you identify the legs of a right triangle?

Back

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

Front

What is the formula used for the Pythagorean Theorem?

Back

The formula is a² + b² = c².

Front

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

Back

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

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

'a' and 'b' represent the lengths of the legs of the right triangle.

Front

What does 'c' represent in the Pythagorean Theorem?

Back

'c' represents the length of the hypotenuse of the right triangle.

Front

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

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

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

Back

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

Front

What is the relationship between the sides of a right triangle?

Back

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.