Pythagorean Theorem - Test Review

Front

What are the legs of a right triangle called?

Back

Sides a and b are called legs.

Front

Which type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What is the equation for the Pythagorean Theorem?

Back

a² + b² = c²

Front

What is the relationship between the side lengths of a right triangle?

Back

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).

Front

If side a is 3 feet and side b is 4 feet, what is the length of side c?

Back

c = 5 feet (using a² + b² = c²: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).

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

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem ONLY works for right triangles.

Front

What is the formula to find the length of one leg if the hypotenuse and the other leg are known?

Back

a = √(c² - b²) or b = √(c² - a²) depending on which leg is unknown.

Front

If a right triangle has legs of 6 feet and 8 feet, what is the length of the hypotenuse?

Back

c = 10 feet (using a² + b² = c²: 6² + 8² = 36 + 64 = 100, so c = √100 = 10).

Front

What is a right triangle?

Back

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