Pythagorean Triples Check

Front

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c², where c is the length of the hypotenuse of a right triangle.

Tags

CCSS.8.G.B.8

Front

Can a right triangle have sides of length 6, 8, and 10?

Back

Yes. 6-8-10 is a Pythagorean Triple.

Tags

CCSS.8.G.B.8

Front

Which set of sides would make a right triangle? 4,5,6 or 5,12,13?

Back

5,12,13 is a Pythagorean Triple.

Tags

CCSS.8.G.B.8

Front

The Pythagorean Theorem ONLY works on which type of triangle?

Back

Right triangle.

Tags

CCSS.8.G.B.8

Front

Would a triangle with these side lengths be a right triangle? 4, 5, 6

Back

No.

Tags

CCSS.8.G.B.8

Front

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?

Back

10² + 60² does not equal 65².

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean Theorem formula?

Back

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

Tags

CCSS.8.G.B.8

Front

If a triangle has sides of length 8 and 15, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(8² + 15²) = √(64 + 225) = √289 = 17.

Tags

CCSS.8.G.B.7

Front

What are the side lengths of the smallest Pythagorean Triple?

Back

The smallest Pythagorean Triple is 3, 4, 5.

Tags

CCSS.8.G.B.8

Front

Can the sides 7, 24, and 25 form a right triangle?

Back

Yes, because 7² + 24² = 25².

Tags

CCSS.8.G.B.8