Pythagorean Triples Check

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c that satisfy the equation a² + b² = c², where c is the longest side of a right triangle.

Front

Which triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

What is the Pythagorean Theorem formula?

Back

The formula is a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.

Front

Can the lengths 10, 60, and 65 form a right triangle?

Back

No, because 10² + 60² does not equal 65².

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13².

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side.

Front

What does it mean if a set of numbers is a Pythagorean Triple?

Back

It means that the numbers can represent the lengths of the sides of a right triangle.

Front

How do you check if three lengths can form a right triangle?

Back

Use the Pythagorean Theorem: check if a² + b² = c² for the longest side c.

Front

What is an example of a Pythagorean Triple?

Back

An example is 3, 4, and 5.