Pythagorean theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What is the length of the diagonal of a rectangle with sides 12 inches and 17 inches?

Back

20.8 inches.

Front

How do you find the length of the diagonal of a rectangle?

Back

Use the Pythagorean Theorem: d = √(length² + width²).

Front

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

Back

Yes, because 7² + 24² = 25².

Front

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

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

What is an example of a Pythagorean triple?

Back

(3, 4, 5) is a Pythagorean triple.

Front

What is the length of the diagonal of a piece of paper that is 11 inches tall and 8 inches wide?

Back

13.6 inches.