Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Tags

CCSS.8.G.B.8

Front

State the Pythagorean Theorem formula.

Back

c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.8

Front

If one side of a right triangle is 6 and the other side is 8, what is the length of the hypotenuse?

Back

10 (using the Pythagorean Theorem: 6² + 8² = c² => 36 + 64 = 100 => c = 10).

Tags

CCSS.8.G.B.7

Front

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

Back

The Pythagorean relationship.

Tags

CCSS.8.G.B.8

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, it only applies to right triangles.

Tags

CCSS.8.G.B.8

Front

If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Back

13 (5² + 12² = 25 + 144 = 169 => c = 13).

Tags

CCSS.8.G.B.7

Front

What is the value of c if a = 9 and b = 12 in a right triangle?

Back

15 (9² + 12² = 81 + 144 = 225 => c = 15).

Tags

CCSS.8.G.B.7

Front

What does 'c' represent in the Pythagorean Theorem?

Back

The length of the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean Theorem used for?

Back

To find the length of a side in a right triangle.

Tags

CCSS.8.G.B.8

Front

If a right triangle has a hypotenuse of 10 and one leg of 6, what is the length of the other leg?

Back

8 (10² = 6² + b² => 100 = 36 + b² => b² = 64 => b = 8).

Tags

CCSS.8.G.B.7