Converse of Pythagorean Theorem

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.

Tags

CCSS.8.G.B.8

Front

What is the formula for the Pythagorean Theorem?

Back

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

Tags

CCSS.8.G.B.8

Front

In a right triangle, which side is the hypotenuse?

Back

The hypotenuse is the longest side, opposite the right angle.

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 5² (9 + 16 = 25).

Tags

CCSS.8.G.B.8

Front

What are the side lengths of a right triangle if the hypotenuse is 10 and one side is 6?

Back

Using the Pythagorean theorem: 6² + b² = 10²; b = 8.

Tags

CCSS.8.G.B.8

Front

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

Back

Yes, because 8² + 15² = 17² (64 + 225 = 289).

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

Front

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

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Tags

CCSS.8.G.B.8

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

Which triangle type does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies only to right triangles.

Tags

CCSS.8.G.B.8