Pathagorean 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

A mathematical formula that states 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

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

Back

Yes.

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

Which set of three numbers can form a right triangle: 36, 77, 85 or 36, 72, 80 or 39, 80, 89 or 39, 45, 75?

Back

36, 77, 85.

Front

If a right triangle has legs of length 9 and 12, what is the length of the hypotenuse?

Back

15.

Front

What is the value of c if a = 5 and b = 12 in a right triangle?

Back

13.

Front

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

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If one leg of a right triangle is 8 and the hypotenuse is 10, what is the length of the other leg?

Back

6.

Front

What is an example of a Pythagorean Triple?

Back

3, 4, 5.