Applying the Pythagorean Theorem

This video tutorial explains how to use the Pythagorean Theorem to find the distance between two points on a coordinate plane. It begins with an introduction to the theorem, followed by instructions on drawing right triangles. The video then demonstrates step-by-step calculations using the theorem with two example problems, highlighting both counting and subtraction methods. The tutorial concludes with a practice problem for viewers to solve.

What is the main topic of this math episode?

• Using the distance formula

• Using the Pythagorean theorem to find distances

• Solving quadratic equations

• Graphing linear equations

Why do we need a right triangle to use the Pythagorean theorem?

• Because it looks better on a graph

• Because it is easier to draw

• Because the theorem only applies to right triangles

• Because it simplifies calculations

How can you find the length of a leg of a right triangle on a coordinate plane?

• By measuring with a ruler

• By counting the units along the axis

• By guessing the length

• By using a calculator

What is the first step in applying the Pythagorean theorem?

• Calculating the area

• Drawing the triangle

• Squaring the lengths of the legs

• Finding the hypotenuse

In the new example, what are the coordinates of point A?

• (-7, 7)

• (3, -2)

• (-2, 3)

• (7, -7)

How can you find the length of a leg using subtraction?

• By subtracting the y-coordinates

• By subtracting the x-coordinates and taking the absolute value

• By subtracting the coordinates and ignoring the sign

• By subtracting the coordinates and adding 1

What is the final step in using the Pythagorean theorem to find the diagonal distance?

• Adding the squares of the legs

• Subtracting the squares of the legs

• Taking the square root of the sum of the squares

• Multiplying the squares of the legs

What should you do after solving the problem independently?

• Check the answer in the video

• Ignore the result

• Try a different method

• Ask a friend for help

What is the benefit of using the Pythagorean theorem over the distance formula?

• It requires less calculation

• It is easier for some people

• It is faster

• It is more accurate