Pythagorean Theorem Converse

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the Converse of the Pythagorean Theorem?

Back

If a triangle has side lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c that satisfy the equation a² + b² = c². Example: (3, 4, 5).

Tags

CCSS.8.G.B.8

Front

If the sides of a triangle are 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

Can side lengths 6, 8, and 10 form a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Tags

CCSS.8.G.B.8

Front

Do the side lengths 13, 80, and 81 form a right triangle?

Back

No, because 13² + 80² ≠ 81² (169 + 6400 ≠ 6561).

Tags

CCSS.8.G.B.8

Front

Does the set of numbers 4, 5, and 6 represent a Pythagorean Triple?

Back

No, because 4² + 5² ≠ 6² (16 + 25 ≠ 36).

Tags

CCSS.8.G.B.8

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

In a right triangle, 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 of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8