Pythagorean 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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What is the formula for finding the hypotenuse in a right triangle?

Back

The formula for finding the hypotenuse is a² + b² = c².

Front

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

Back

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

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 the hypotenuse of a right triangle is 13 and one leg is 5, what is the length of the other leg?

Back

Using the Pythagorean Theorem: c² = a² + b²; 13² = 5² + b²; 169 = 25 + b²; b² = 144; b = 12.

Front

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

Back

In a right triangle, the length of the hypotenuse is always greater than the lengths of either leg.

Front

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

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

What is the length of the missing side if one leg is 20 and the hypotenuse is 25?

Back

Using the Pythagorean Theorem: c² = a² + b²; 25² = 20² + b²; 625 = 400 + b²; b² = 225; b = 15.

Front

What is an example of a real-world application of the Pythagorean Theorem?

Back

Finding the distance between two points on a map, where the points form a right triangle.