Understanding the Pythagorean Theorem

In this video, Mr. Jay explains how to find the length of a missing leg in a right triangle using the Pythagorean theorem. The video covers the setup of the problem with given side lengths, the process of solving for the missing leg, and the calculation and rounding of the result. The example uses decimal side lengths, and the video concludes with a summary of the method.

What is the Pythagorean theorem used for?

• Calculating the volume of a cube

• Finding the area of a circle

• Determining the length of a side in a right triangle

• Measuring the circumference of a square

In the Pythagorean theorem, what does 'c' represent?

• The perimeter of the triangle

• The hypotenuse

• One of the legs

• The area of the triangle

If one leg of a right triangle is 8.3 meters and the hypotenuse is 12.6 meters, what is the first step to find the missing leg?

• Multiply the lengths of the known sides

• Add the lengths of the known sides

• Subtract the length of the hypotenuse from the leg

• Square the lengths of the known sides

What is the result of squaring 8.3?

• 70.89

• 68.89

• 69.89

• 67.89

After subtracting 68.89 from 158.76, what is the next step?

• Multiply the result by 2

• Take the square root of the result

• Divide the result by 2

• Add the result to 68.89

Why is the square root of 89.87 considered irrational?

• It is a whole number

• It is a repeating decimal

• It is a negative number

• It is a non-repeating, non-terminating decimal

What is the approximate value of the square root of 89.87 rounded to the tenths place?

• 9.6

• 9.5

• 9.4

• 9.7

What is the importance of rounding the result to the tenths place?

• To ensure the number is even

• To simplify the calculation

• To make the number a whole number

• To match the precision of the other side lengths

What is the approximate length of the missing leg in meters?

• 8.5

• 10.0

• 9.5

• 9.0

What is the final step in solving for the missing leg using the Pythagorean theorem?

• Rounding the square root result

• Adding all side lengths

• Multiplying the side lengths

• Subtracting the hypotenuse