Pythagorean Theorem and Square and Cube Roots

Front

What does the Pythagorean Theorem state?

Back

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 a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

If a = 3 and b = 4, what is c?

Back

c = 5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What is the square root of 16?

Back

4 (because 4 x 4 = 16).

Front

What is the cube root of 27?

Back

3 (because 3 x 3 x 3 = 27).

Front

True or False: The sum of the squares of the legs of a right triangle equals the square of the hypotenuse.

Back

True.

Front

What is the formula to find the area of a right triangle?

Back

Area = 1/2 * base * height.

Front

If c = 10 and a = 6, what is b?

Back

b = 8 (using the Pythagorean Theorem: 6² + b² = 10²).

Front

What is the square of 5?

Back

25 (because 5 x 5 = 25).