Pythagorean Theorem and the Coordinate Plane

The video tutorial explains how to find the distance between two points on a coordinate plane using the Pythagorean theorem. It begins with plotting points and forming a right triangle, then calculating the hypotenuse. An example is provided, followed by a task for viewers to practice. The tutorial also covers finding the perimeter of a triangle by calculating the hypotenuse of three right triangles formed by the triangle's sides.

What is the first step in finding the distance between two points in a coordinate plane?

• Measure the distance between the points directly

• Plot the two points on the coordinate plane

• Draw a line segment to connect the points

• Calculate the hypotenuse using the Pythagorean theorem

Which theorem is used to calculate the distance of the hypotenuse in a right triangle?

• Euclidean theorem

• Fundamental theorem of calculus

• Binomial theorem

• Pythagorean theorem

In the example provided, what are the lengths of the legs used to calculate the hypotenuse?

• 6 and 7

• 5 and 9

• 10 and 10

• 4 and 8

How do you find the perimeter of a triangle in the coordinate plane?

• Add the lengths of the hypotenuses of the right triangles formed

• Divide the sum of the sides by three

• Multiply the lengths of the sides

• Subtract the shortest side from the longest side

What is the perimeter of the triangle calculated in the example?

• 18.7 units

• 22.1 units

• 20.5 units

• 15.3 units