Pythagorean Triples

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c, such that a² + b² = c², where c is the hypotenuse.

Front

Identify the hypotenuse in a right triangle with sides 5, 12, and 13.

Back

The hypotenuse is 13.

Front

Fill in the missing side: 8, ____, 17.

Back

The missing side is 15.

Front

Does the set of numbers 4, 5, 6 represent a Pythagorean Triple?

Back

No.

Front

Which of the following is a Pythagorean Triple? 3,8,10; 7,24,25; 8,15,16; 5,12,14.

Back

7,24,25.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

c = √(a² + b²) where c is the hypotenuse.

Front

If one side of a right triangle is 9 and the other is 12, what is the length of the hypotenuse?

Back

The hypotenuse is 15.

Front

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

Back

The sum of the squares of the two shorter sides equals the square of the hypotenuse.

Front

Provide an example of a Pythagorean Triple.

Back

An example is 5, 12, 13.

Front

What is the value of x in the right triangle with sides 8, x, and 10?

Back

x = 6.