12.8 Pythagorean Review

Front

What do we call the side across from the right angle in a right triangle?

Back

Hypotenuse

Front

What is the Pythagorean Theorem formula?

Back

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

Tags

CCSS.8.G.B.8

Front

In a right triangle, if one leg is 5 cm and the other leg is 12 cm, what is the length of the hypotenuse?

Back

13 cm

Tags

CCSS.8.G.B.7

Front

What is the condition for three lengths to form a right triangle?

Back

The sum of the squares of the two shorter sides must equal the square of the longest side.

Tags

CCSS.8.G.B.8

Front

Which triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Tags

CCSS.8.G.B.8

Front

If the lengths of the sides of a triangle are 15, 12, and 9, do they form a right triangle?

Back

Yes, they satisfy the Pythagorean Theorem.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 5-12-13 triangle?

Back

It is a Pythagorean triple, meaning it satisfies the Pythagorean Theorem.

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 a² + b² = c².

Tags

CCSS.8.G.B.8

Front

If a right triangle has legs of lengths 8 cm and 15 cm, what is the length of the hypotenuse?

Back

17 cm.

Tags

CCSS.8.G.B.7

Front

What is the converse of the Pythagorean Theorem?

Back

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

Tags

CCSS.8.G.B.8