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🍍 8.4.7 Pythagorean Theorem Word Problems

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Last updated about 1 month ago
6 questions
Find the missing part for each story problem. Round your answer to the nearest tenth (0.1) if necessary or leave the answer as a square root. Use the Show Work Page to make a sketch or drawing to help you solve the problem.
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Question 1
1.

A 16-foot ladder is leaning up against a wall. If the bottom of the ladder is 6 feet from the base of the wall, how far up the wall does the ladder reach?

Question 2
2.

A pool table is 5 feet wide by 10 feet long. How far is it from one corner pocket to the opposite corner pocket?

Question 3
3.

A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Label each known part in the diagram and find the length of the ladder.

Question 4
4.

An 18-foot long ramp is placed at a loading dock that is 5 feet above ground. How far is the bottom of the ramp from the dock?

Question 5
5.

A soccer field measures 90 meters wide by 120 meters long. Starting at one corner, you walk the diagonal to the other corner. How far did you walk?

Question 6
6.

A 37-foot walkway runs the diagonal of a rectangular garden. If the length of the garden is 35 feet, find the width of the garden.