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 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 do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is identified as the longest side of the triangle.

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.

Front

If one leg is 14 and the hypotenuse is 20, how do you find the other leg?

Back

Use the Pythagorean Theorem: a² + b² = c². Here, 14² + b² = 20². Solve for b.

Front

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

Back

To find a leg, rearrange the Pythagorean Theorem: b² = c² - a².

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'c' represents the length of the hypotenuse.

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the legs of the right triangle.

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).

Front

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

Back

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