Finding Heights and Lengths Using the Pythagorean Theorem

This video tutorial teaches how to find the length of a leg in a right triangle using the Pythagorean theorem. It covers the theorem's formula, rounding square roots, identifying the hypotenuse, and practical applications like calculating the height of a flagpole and the length of a television. The tutorial emphasizes understanding the theorem's application in real-world scenarios.

What is the formula for the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = 2c

If you have the square root of 67 as 8.18, what is it rounded to the nearest tenth?

• 8.1

• 8.2

• 8.3

• 8.0

How can you identify the hypotenuse in a right triangle?

• It is the side with the smallest angle.

• It is always opposite the 90-degree angle.

• It is the shortest side.

• It is the side with the variable.

In the flagpole example, what is the height of the flagpole?

• 34 feet

• 16 feet

• 15 feet

• 30 feet

What is the length of the television if the height is 18 inches and the diagonal is 42 inches?

• 35.5 inches

• 40.2 inches

• 39.7 inches

• 37.9 inches