Converse of Pythagorean Theorem

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

How can you determine if a triangle is a right triangle using side lengths?

Back

Check if the square of the longest side equals the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8

Front

Given the lengths 6 in, 8 in, and 10 in, does this form a right triangle?

Back

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

Tags

CCSS.8.G.B.8

Front

Which set of side lengths forms a right triangle: 3, 4, 7 or 33, 56, 65?

Back

33, 56, 65, because 33² + 56² = 65² (1089 + 3136 = 4225).

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed by the lengths 4, 8, and 10?

Back

Obtuse, because 4² + 8² < 10² (16 + 64 < 100).

Tags

CCSS.8.G.B.8

Front

In a right triangle with sides 9, 40, and 41, which is the hypotenuse?

Back

41, because it is the longest side.

Tags

CCSS.HSG.CO.C.10

Front

What type of triangle is formed by the lengths 6, 9, and 12?

Back

Obtuse, because 6² + 9² < 12² (36 + 81 < 144).

Tags

CCSS.HSG.CO.C.10

Front

What is the formula to check if a triangle is acute?

Back

If a² + b² > c², where c is the longest side.

Tags

CCSS.8.G.B.8

Front

What is the formula to check if a triangle is obtuse?

Back

If a² + b² < c², where c is the longest side.

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8