Finding the Length of the Hypotenuse with the Pythagorean Theorem

What is the formula of the Pythagorean Theorem?

• a^2 + b^2 = 2c

• 2a + 2b = c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

In the Pythagorean Theorem, which side is represented by 'c'?

• The hypotenuse

• The base

• One of the legs

• The shortest side

Why do we square the sides when using the Pythagorean Theorem?

• To simplify the equation

• Because it's a requirement of the theorem

• To find the area of the triangle

• To convert them into volumes

If the legs of a right triangle are 8 meters and 6 meters, what is the length of the hypotenuse?

• 8 meters

• 14 meters

• 10 meters

• 6 meters

How do you find the length of the hypotenuse when given the lengths of the legs?

• Divide the length of one leg by the other

• Add the lengths of the legs

• Multiply the lengths of the legs

• Use the Pythagorean Theorem

What is the first step in finding the hypotenuse using the Pythagorean Theorem?

• Square the lengths of the legs

• Divide the lengths of the legs

• Multiply the lengths of the legs

• Add the lengths of the legs

How do you isolate 'c' in the equation when using the Pythagorean Theorem?

• Add the square root of both sides

• Subtract the square root of both sides

• Take the square root of both sides

• Multiply the square root of both sides

What is the approximate length of the hypotenuse if the legs are 10 feet and 7 feet?

• 7 feet

• 12.21 feet

• 17 feet

• 10 feet

What does it mean if the square root of a number is irrational?

• It is negative

• It never ends and doesn't repeat

• It can be expressed as a fraction

• It is a whole number

What is the significance of rounding the square root of 149 to two decimal places?

• To approximate the irrational number

• To convert it into a fraction

• For easier calculation

• To get a whole number