Pythagorean Triples Flashcard

Front

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c². For example, (3, 4, 5) is a Pythagorean Triple.

Front

Complete the Pythagorean Triple: 5- ? - 13

Back

12

Front

Which of the following is a Pythagorean Triple? 7, 24, 25; 3, 6, 9; 10, 11, 13; 2, 4, 6

Back

7, 24, 25

Front

Find the value of x in the Pythagorean Triple: 7- ? - 25

Back

24

Front

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

Back

The hypotenuse can be found using the formula c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

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

Back

10

Front

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

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

Complete the Pythagorean Triple: 8- ? - 10

Back

6

Front

Find the value of x in the Pythagorean Triple: 9- ? - 15

Back

12

Front

What is the smallest Pythagorean Triple?

Back

The smallest Pythagorean Triple is (3, 4, 5).