Exploring the Pythagorean Theorem with Examples

Who discovered the Pythagorean theorem?

• Archimedes

• Euclid

• Pythagoras

• Aristotle

What is the formula of the Pythagorean theorem?

• a^3 + b^3 = c^3

• a^2 + b^2 = c^2

• 2a + 2b = c

• a^2 - b^2 = c^2

What angle is present in a right triangle?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

Which side of the right triangle is the hypotenuse?

• The side adjacent to the right angle

• The shortest side

• One of the legs

• The side opposite the right angle

In the Pythagorean theorem, what do the letters a and b represent?

• The lengths of the hypotenuse

• The lengths of any two sides

• The lengths of the legs

• The angles of the triangle

In a right triangle, if a = 3 and b = 4, what is the length of c?

• 5

• 6

• 7

• 8

How do you find the missing length of a right triangle using the Pythagorean theorem?

• Square the sum of the two known sides

• Add the squares of the two known sides

• Subtract the square of one known side from the other

• Multiply the squares of the two known sides

If the hypotenuse of a right triangle is 13, and one leg is 5, what is the length of the other leg?

• 12

• 8

• 10

• 6

What is the result of 8 squared plus 6 squared in the context of the Pythagorean theorem?

• 64

• 100

• 36

• 144

What is the square root of 169 in the context of finding the hypotenuse?

• 14

• 13

• 12

• 11