Pythagorean Theorem Applications

The video tutorial covers solving word problems using the Pythagorean theorem. It begins with finding the height of a parallelogram by focusing on a right triangle within it. The base and hypotenuse are given, and the height is calculated. The second problem involves a wire stretched from the top of a pole to a stake on the ground, requiring the calculation of the wire's length using the theorem. Both problems emphasize the application of the Pythagorean theorem in real-world scenarios.

What is the first step in solving a word problem using the Pythagorean theorem?

• Identify the hypotenuse

• Draw a diagram

• Calculate the area

• Find the perimeter

In the Pythagorean theorem, which side is always the hypotenuse?

• Any side

• The shortest side

• The side opposite the right angle

• The longest side

What is the value of b^2 if a^2 is 81 and c^2 is 225?

• 100

• 64

• 144

• 196

What is the height of the parallelogram in meters?

• 10 meters

• 12 meters

• 15 meters

• 9 meters

What is the height of the pole in the second problem?

• 15T

• 12T

• 5T

• 10T

How far is the stake from the base of the pole?

• 12T

• 10T

• 15T

• 5T

What is the length of the wire in feet?

• 12 feet

• 10 feet

• 15 feet

• 13 feet

Which formula is used to find the length of the wire?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a + b = c^2

What is the square root of 169?

• 12

• 14

• 13

• 11

What unit is used for the length of the wire?

• Centimeters

• Meters

• Inches

• Feet