Solving Problems: Pythagorean Theorem – Lions

  1. A television is identified by the diagonal measurement of the screen. The TV in your house has a 36-inch (c) with a height of 22 inches (a). What is the length (b) of the television screen rounded to the nearest tenth of an inch?
  1. A wheelchair ramp that is constructed to rise 1 foot (a) off the ground must be extended 12 feet (b) along the ground. How long should the wheelchair ramp be (c)?
  1. The skate ramp in the neighborhood park is going to be replaced. Stan needs to determine how long the ramp is in order to buy the materials. The ramp begins 15 feet (a) from the wall that is 8 feet tall (b). Draw a picture to represent this situation and find out how long the ramp (c) needs to be.
  1. Tony needs to clean windows that are 8 feet high and has a 10-foot ladder. How far should the bottom of the ladder be from the wall? Draw a picture to represent this situation and find the distance from the wall to the bottom of the ladder.

Solving Problems: Pythagorean Theorem – Tigers

  1. A television is identified by the diagonal measurement of the screen. The TV in your house has a 36-inch with a height of 22 inches. What is the length of the television screen rounded to the nearest tenth of an inch? Label the picture to represent this situation and explain your reasoning in finding the length.
  1. A wheelchair ramp that is constructed to rise 1 foot off the ground must be extended 12 feet along the ground. How long should the wheelchair ramp be? Draw a picture to represent this situation and explain how you found the length of the ramp.
  1. The skate ramp in the neighborhood park is going to be replaced. Stan needs to determine how long the ramp is in order to buy the materials. The ramp begins 15 feet from the wall that is 8 feet tall. Draw a picture to represent this situation and find out how long the ramp needs to be. How could you prove this to be true?
  1. Tony needs to clean windows that are 8 feet high and has a 10-foot ladder. How far should the bottom of the ladder be from the wall? Draw a picture to represent this situation and find the distance from the wall to the bottom of the ladder. How do you know this to be true?