Pythagorean Theorem and Converse Basics

What is the name of the theorem that states the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right triangle?

• Euclidean Theorem

• Pythagorean Theorem

• Thales' Theorem

• Archimedes' Principle

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 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.

In a right triangle with sides of 5, 12, and x, what is the value of x?

• 8.2

• 7.5

• 15.3

• 10.91

Which of the following is a Pythagorean Triple?

• 2, 3, 4

• 8, 15, 17

• 5, 5, 5

• 7, 10, 12

Which of the following sets does NOT form a Pythagorean Triple?

• 7, 24, 25

• 9, 40, 41

• 11, 60, 61

• 12, 35, 37

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

• 21

• 19

• 26

• 30