Pythagorean Theorem Triples and Triangles

Which of the following is a Pythagorean Triple?

• 2, 3, 4

• 8, 15, 17

• 5, 5, 5

• 7, 10, 12

For a right triangle with legs of lengths 8 and 15, what is the length of the hypotenuse?

• 17

• 23

• 10

• 19

Which set of numbers forms a Pythagorean Triple?

• 9, 12, 15

• 10, 11, 12

• 6, 8, 10

• 3, 5, 7

What is the result of applying the Pythagorean theorem to a right triangle with legs of 6 and 8?

• 10

• 14

• 100

• 12

According to the Pythagorean theorem, if the hypotenuse of a right triangle is 13 and one leg is 5, what is the length of the other leg?

• 12

• 10

• 8

• 14

What is the longest side of a right triangle called?

• adjacent

• hypotenuse

• angle

• opposite

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• 2ab = c^2

• a + b = c

• a^2 - b^2 = c^2

What is the Pythagorean Converse?

• A triangle is only a right triangle if the sum of the squares of the sides is less than the square of the longest side.

• The Pythagorean Converse states that all triangles are right triangles.

• If the sum of the squares of the sides of a triangle is not equal to the square of the longest side, then the triangle is a right triangle.

• If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

What are Pythagorean Triples?

• Pythagorean Triples are sets of three even integers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three decimal numbers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three positive integers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three negative integers a, b, and c, such that a^2 + b^2 = c^2.

If a right triangle has one leg of 6 and a hypotenuse of 10, what is the length of the other leg?

• 4

• 8

• 5

• 12