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.

Front

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

Back

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

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.

Front

The Pythagorean Theorem ONLY works on which type of triangle?

Back

Right triangle.

Front

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

Back

No.

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.

Front

What is the Pythagorean Theorem formula?

Back

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

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.

Front

What are the side lengths of the smallest Pythagorean Triple?

Back

The smallest Pythagorean Triple is 3, 4, 5.

Front

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

Back

Yes, because 7² + 24² = 25².