Triangle Triples

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c that satisfy the equation a² + b² = c².

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

Identify the type of triangle where the Pythagorean Theorem applies.

Back

Right triangle.

Front

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

Back

10 (using the Pythagorean Theorem: 6² + 8² = 10²).

Front

What is the formula to find the missing side of a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c².

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, it only applies to right triangles.

Front

What are the three sides of a right triangle called?

Back

The two shorter sides are called legs, and the longest side is called the hypotenuse.

Front

Find the missing side if one side is 9 and the hypotenuse is 15.

Back

12 (using the Pythagorean Theorem: 9² + b² = 15²).

Front

Does the set of numbers 5, 12, 13 represent a Pythagorean Triple?

Back

Yes, because 5² + 12² = 13².

Front

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

Back

The sum of the squares of the two legs equals the square of the hypotenuse.