Pythagorean Theorem and Their Converse

Front

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

Back

Yes, it is a right triangle because 7² + 24² = 25².

Front

What is the longest side of a right triangle called?

Back

Hypotenuse.

Front

What are the 2 shorter sides of a right triangle called?

Back

Legs.

Front

a = 2.1, b = 7.2, c = 7.5. Is this a right triangle?

Back

Yes, it is a right triangle because 2.1² + 7.2² = 7.5².

Front

What is the formula for Pythagorean theorem?

Back

a² + b² = c².

Front

What does the Pythagorean theorem state?

Back

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

Front

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

Back

Yes, because 5² + 12² = 13².

Front

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

Back

The sum of the squares of the legs equals the square of the hypotenuse.

Front

Can a triangle with sides 8, 15, and 17 be a right triangle?

Back

Yes, because 8² + 15² = 17².

Front

What is the converse of the Pythagorean theorem?

Back

If a triangle satisfies a² + b² = c², then it is a right triangle.