Pythagorean Theorem Introduction

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

What is the hypotenuse in a right triangle?

Back

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

Front

In a right triangle, which side is always the longest?

Back

The hypotenuse (side c) is always the longest side in a right triangle.

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root of that number.

Front

Which type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If a = 3 and b = 4, what is c in the Pythagorean Theorem?

Back

Using the Pythagorean Theorem: c² = a² + b²; c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.

Front

What does 'c² = a² + b²' represent?

Back

This equation represents the Pythagorean Theorem, where c is the hypotenuse and a and b are the other two sides of a right triangle.

Front

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

Back

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

Front

What is a right triangle?

Back

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

Front

What are the two sides that form the right angle in a right triangle called?

Back

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