Seth places a 10-foot ladder against his house to reach a window that is 8 feet high. Use the following drawing of this situation to help determine how far the ladder base is from the house. 10 ft. 8 ft. © 2020 StrongMind. Created using GeoGebra. After analyzing the problem, what is an appropriate process for solving it? Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 10 – 8 for the remaining leg length. Check your answer by making sure the two shorter sides add up to the longest side. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a = 8 and b = 10 into a + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 8 + 10 for the remaining leg length. Check your answer by making sure the two shorter sides add up to the longest side. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a = 8 and c = 10 into a? + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square.

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Seth places a 10-foot ladder against his house to reach a window that is 8 feet high.
Use the following drawing of this situation to help determine how far the ladder base is from the house.
10 ft.
8 ft.
?
© 2020 StrongMind. Created using GeoGebra.
After analyzing the problem, what is an appropriate process for solving it?
Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 10 – 8 for the remaining leg
length. Check your answer by making sure the two shorter sides add up to the longest side.
Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a =
8 and b = 10 into
a + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square.
Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 8 + 10 for the remaining leg
length. Check your answer by making sure the two shorter sides add up to the longest side.
Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a =
8 and c =
10 into
a? + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square.
Transcribed Image Text:Seth places a 10-foot ladder against his house to reach a window that is 8 feet high. Use the following drawing of this situation to help determine how far the ladder base is from the house. 10 ft. 8 ft. ? © 2020 StrongMind. Created using GeoGebra. After analyzing the problem, what is an appropriate process for solving it? Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 10 – 8 for the remaining leg length. Check your answer by making sure the two shorter sides add up to the longest side. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a = 8 and b = 10 into a + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Find 8 + 10 for the remaining leg length. Check your answer by making sure the two shorter sides add up to the longest side. Seth knows one triangle leg is 8 feet long, and the hypotenuse is 10 feet long. He needs to find the remaining leg length. Substitute a = 8 and c = 10 into a? + b? = c² to find the remaining leg length. Check your answer by making sure the sum of the legs' squares equals the hypotenuse's square.
Expert Solution
Step 1

Given that, one leg triangle   is 8 feet long and the hypotenuse is 10 feet long. We need to find the, how far the ladder base is from the house i.e third leg (base) distance.

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