The 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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

If one side of a right triangle is 5 and the other side is 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 5² + 12²; c² = 25 + 144; c² = 169; c = 13.

Front

What is the square root of 144?

Back

The square root of 144 is 12.

Front

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10.

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem cannot be used for obtuse triangles.

Front

What is a right triangle?

Back

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

Front

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

Back

Using the Pythagorean Theorem: c² = a² + b²; 15² = 9² + b²; 225 = 81 + b²; b² = 144; b = 12.

Front

What is the formula for finding the area of a right triangle?

Back

The area of a right triangle is given by the formula: Area = (1/2) * base * height.