Solving Word Problems on Coordinate Planes with the Pythagorean Theorem

This video tutorial teaches how to apply the Pythagorean theorem to solve real-world mathematical problems involving coordinate planes. It begins with an introduction to the properties of right triangles and the theorem itself. The tutorial then demonstrates how to create right triangles on a coordinate plane and use the theorem to calculate distances. Several example problems are solved, including scenarios with both numerical and named intervals, illustrating the practical application of the theorem in different contexts.

What is the primary purpose of using the Pythagorean theorem in this lesson?

• To measure the angle of a triangle

• To calculate the area of a triangle

• To find the distance between two points on a coordinate plane

• To determine the perimeter of a square

In a right triangle, what is the side opposite the 90-degree angle called?

• Leg B

• Diagonal

• Hypotenuse

• Leg A

If a park is 3 blocks east and a library is 4 blocks north, what is the shortest distance from the library to the starting point?

• 3 blocks

• 4 blocks

• 5 blocks

• 7 blocks

How far is the school from home if the mall is 5 miles west and the school is 5 miles south of the mall?

• 12 miles

• 10 miles

• 7.07 miles

• 5 miles

What is the distance between the intersection of 2nd Avenue and 2nd Street and the intersection of 5th Avenue and 5th Street?

• 6 blocks

• 5 blocks

• 4.24 blocks

• 3 blocks

Which method is used to find the distance between two points on a coordinate plane?

• Measuring angles

• Using the area formula

• Applying the Pythagorean theorem

• Calculating the perimeter

What is the result of applying the Pythagorean theorem to a triangle with sides 3 and 4?

• 5

• 8

• 6

• 7