Pythagorean Theorem Review

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 a² + b² = c².

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

How can you identify the hypotenuse in a right triangle?

Back

The hypotenuse is always the longest leg of the triangle.

Front

How many legs are there in a right triangle?

Back

There are two legs in a right triangle.

Front

What is the formula for calculating the length of the hypotenuse using the Pythagorean Theorem?

Back

The formula is c = √(a² + b²), where c is the length of the hypotenuse and a and b are the lengths of the legs.

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What does 'leg' refer to in the context of a right triangle?

Back

A leg refers to either of the two sides that form the right angle in a right triangle.

Front

Can the hypotenuse ever be shorter than either leg in a right triangle?

Back

No, the hypotenuse is always the longest side in a right triangle.

Front

What is the relationship between the lengths of the legs and the hypotenuse in a right triangle?

Back

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

Front

What is an example of a Pythagorean triple?

Back

An example of a Pythagorean triple is (3, 4, 5), where 3 and 4 are the legs and 5 is the hypotenuse.