Converse of the Pythagorean Theorem

Front

What is the formula for the Pythagorean theorem?

Back

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

Front

What is the longest side of a right triangle called?

Back

Hypotenuse.

Front

What type of triangle does the Pythagorean theorem apply to?

Back

Right triangle.

Front

If a = 3 and b = 4, what is c in a right triangle?

Back

c = 5 (using a² + b² = c²).

Front

What is the converse of the Pythagorean theorem?

Back

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

Front

Can the Pythagorean theorem be used for obtuse triangles?

Back

No, it only applies to right triangles.

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 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 6, 8, and 10, is it a right triangle?

Back

Yes, because 6² + 8² = 10².

Front

What is a leg in a right triangle?

Back

A leg is one of the two shorter sides of a right triangle.