Find the Hypotenuse

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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies only to right triangles.

Front

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

Back

5 cm (Using the Pythagorean Theorem: 3² + 4² = c², so 9 + 16 = c², thus c = 5).

Front

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

Back

The formula to find the hypotenuse is c = √(a² + b²).

Front

Calculate the hypotenuse if the legs are 6 in and 8 in.

Back

10 in (Using the Pythagorean Theorem: 6² + 8² = c², so 36 + 64 = c², thus c = 10).

Front

What is the length of the hypotenuse if one leg is 5 and the other leg is 12?

Back

13 (Using the Pythagorean Theorem: 5² + 12² = c², so 25 + 144 = c², thus c = 13).

Front

If the hypotenuse is 15 and one leg is 9, what is the length of the other leg?

Back

12 (Using the Pythagorean Theorem: 9² + b² = 15², so 81 + b² = 225, thus b = 12).

Front

What is a right triangle?

Back

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

Front

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

Back

In a right triangle, the hypotenuse is always the longest side, opposite the right angle.

Front

If the hypotenuse is 10 and one leg is 6, how do you find the other leg?

Back

Use the Pythagorean Theorem: 6² + b² = 10², so 36 + b² = 100, thus b = 8.