Converse of Pythagorean Worksheet Theorem

Front

Fill in the blank: The _______ of the squares on the legs is equal to the area of the square on the hypotenuse.

Back

sum

Front

Can side lengths 3, 4, and 5 form a right triangle?

Back

yes

Front

Find the missing side: If one leg is 6 and the other leg is 8, what is the hypotenuse?

Back

10

Front

Which set of side lengths does not form a right triangle: 14, 15, 29 or 36, 77, 85?

Back

14, 15, 29

Front

A triangle has sides of 16 m, 12 m, and 20 m. Classify the triangle by its angles.

Back

right

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

yes

Front

What is the converse of the Pythagorean Theorem?

Back

If the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Front

Calculate the hypotenuse of a right triangle with legs of 9 and 12.

Back

15

Front

Identify the triangle type: A triangle with sides 7, 24, and 25.

Back

right