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). It is expressed as c² = a² + b².

Front

Is the statement c² = a² - b² true or false?

Back

False. The correct formula is c² = a² + b².

Front

If one side of a right triangle is 15 inches and the hypotenuse is 20 inches, what is the length of the other side?

Back

Using the Pythagorean Theorem: 20² = 15² + b², so b = 20.

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

The formula is c = √(a² + b²).

Front

In a right triangle, if one side is 12 inches and the other side is 16 inches, what is the length of the hypotenuse?

Back

The hypotenuse is 20 inches.

Front

What does the term 'hypotenuse' refer to in a right triangle?

Back

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

Front

If a computer monitor has a diagonal of 27 inches and a height of 15 inches, how do you find the width?

Back

Use the Pythagorean Theorem: width = √(27² - 15²) = 22 inches.

Front

What is the relationship between the areas of the squares on the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the areas of the two smaller squares is equal to the area of the larger square.

Front

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

Back

The hypotenuse is 15 inches.

Front

What is the first step to solve for a missing side in a right triangle using the Pythagorean Theorem?

Back

Identify which side is the hypotenuse and which are the legs of the triangle.