Pythagorean Theorem Applications

The video tutorial guides viewers through solving a standardized math test question using the Pythagorean theorem. It begins with an introduction to the problem, involving two cities on a grid. The instructor explains how to form a right triangle and apply the Pythagorean theorem to find the distance between the cities. The process includes identifying the triangle's legs, calculating their squares, and solving for the hypotenuse, which represents the distance between the cities.

What is the main objective of the math test prep session?

• To learn about different types of triangles

• To find the distance between two cities using the Pythagorean theorem

• To understand the concept of angles

• To calculate the area of a rectangle

Which two cities are being used in the problem to demonstrate the Pythagorean theorem?

• Lundy and Valhalla

• Odin and Lundy

• Lundy and Midgard

• Odin and Asgard

What shape is formed on the coordinate plane to apply the Pythagorean theorem?

• A rectangle

• A square

• A right triangle

• A circle

How many units is the leg from the right angle to the town of Odin?

• Ten units

• Eight units

• Twelve units

• Six units

How many units is the leg from the right angle to the town of Lundy?

• Six units

• Four units

• Ten units

• Eight units

What is the formula used to calculate the hypotenuse in a right triangle?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

• a + b = c

What is the value of 8 squared?

• 72

• 36

• 48

• 64

What is the value of 6 squared?

• 48

• 42

• 36

• 30

What is the sum of 64 and 36?

• 105

• 100

• 95

• 90

What is the square root of 100?

• 10

• 9

• 8

• 11