Triangle Triples

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c, such that a² + b² = c². Example: (3, 4, 5).

Front

Identify a Pythagorean Triple from the following: 4,4,8; 6,8,10; 1,2,3; 10,15,25.

Back

6,8,10

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

Find the missing side if one side is 20 and the hypotenuse is 29.2.

Back

The missing side is 20.

Front

Which set of sides would make a right triangle? 4,5,6; 8,10,12; 5,12,13; 5,10,12.

Back

5,12,13

Front

Does the set of numbers 10, 24, 26 represent a Pythagorean Triple?

Back

Yes.

Front

Find the missing side if one side is 72 and the hypotenuse is 108.

Back

The missing side is 72.

Front

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

Back

The lengths of the sides must satisfy the Pythagorean Theorem: a² + b² = c².

Front

Provide an example of a Pythagorean Triple.

Back

(5, 12, 13) is a Pythagorean Triple.

Front

What is the significance of the hypotenuse in a right triangle?

Back

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