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 can be expressed as: a² + b² = c².

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle. It is denoted as 'c' in the Pythagorean Theorem.

Front

Does the set of numbers 20, 25, 15 represent a right triangle?

Back

Yes, because 20² + 15² = 25² (400 + 225 = 625).

Front

Which set of sides would make a right triangle? 4,5,6 or 5,12,13?

Back

5,12,13, because 5² + 12² = 13² (25 + 144 = 169).

Front

Find the missing side if one leg is 6 and the hypotenuse is 6.4.

Back

The missing side is 6.4, because 6² + b² = 6.4² (36 + b² = 40.96).

Front

Is the hypotenuse always the longest side of a right triangle?

Back

True, the hypotenuse is always the longest side.

Front

Are sides a and b called legs in a right triangle?

Back

True, sides a and b are called the legs.

Front

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

Back

In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 5² (9 + 16 = 25).