Triangle Triples

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

Find the missing side if one side is 12 and the hypotenuse is 13.

Back

5

Front

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

Back

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

Front

Find x if the sides of a triangle are 9, 12, and x, and x is the hypotenuse.

Back

15

Front

Which of the following is a Pythagorean Triple? 5, 12, 13 or 7, 24, 25?

Back

Both (5, 12, 13) and (7, 24, 25) are Pythagorean Triples.

Front

If one side of a right triangle is 8 and the other side is 15, what is the hypotenuse?

Back

17

Front

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

Back

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

Front

Find x if the sides of a triangle are 6, 8, and x, and x is the hypotenuse.

Back

10

Front

What is the smallest Pythagorean Triple?

Back

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

Front

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Back

Yes, it is a right triangle because 7² + 24² = 25².