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: c² = a² + b².

Front

What is the opposite of squaring a number?

Back

Square root.

Front

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

Back

The hypotenuse (side c) is always the longest side.

Front

If one side of a right triangle is 6 cm and the other side is 8 cm, what is the length of the hypotenuse?

Back

10 cm (using the Pythagorean Theorem: 6² + 8² = c², 36 + 64 = c², 100 = c², c = 10).

Front

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

Back

Use the Pythagorean Theorem: c² = a² + b².

Front

If the hypotenuse of a right triangle is 13 cm and one side is 5 cm, what is the length of the other side?

Back

12 cm (using the Pythagorean Theorem: 13² = 5² + b², 169 = 25 + b², b² = 144, b = 12).

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.

Front

What do you call the longest side of a right triangle?

Back

Hypotenuse.

Front

If a right triangle has sides of length 9 cm and 12 cm, what is the length of the hypotenuse?

Back

15 cm (using the Pythagorean Theorem: 9² + 12² = c², 81 + 144 = c², 225 = c², c = 15).

Front

What is the square of 7?

Back

49.