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

If a triangle has sides a=5 and b=12, what is the length of side c?

Back

c = 13.

Front

In a right triangle, if one leg is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

c = 10.

Front

What is the length of the diagonal of a rectangle with width 50 yards and length 100 yards?

Back

111.8 yards.

Front

How do you find the width of a TV if the diagonal is 40 inches and the height is 30 inches?

Back

Use the equation 30² + b² = 40².

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

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

Front

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

Back

The other leg is 12.

Front

What is the Pythagorean Theorem used for?

Back

To find the length of a side in a right triangle.

Front

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Back

Yes, because 7² + 24² = 25².