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Right Triangle Word Problems

Practice solving word problems involving right triangles and the Pythagorean theorem.

Grade 7 Math TrigonometryRight Triangle Word Problems
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Includes

4 Short Answer

Standards

CCSS.MATH.CONTENT.8.G.B.7

Topics

mathgrade 7right trianglesPythagorean theoremword problems
6 sections · Free to use · Printable
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Right Triangle Word Problems

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Read each word problem carefully and solve for the missing side of the right triangle. Show your work.

1. A ladder is leaning against a wall. The base of the ladder is 5 feet away from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?

5 ft12 ft?

2. A ship sails 9 miles east and then 12 miles north. How far is the ship from its starting point?

9 miles12 miles?

3. A television screen is 20 inches long and 15 inches high. What is the length of the diagonal of the television screen?

20 inches15 inches?

4. A baseball diamond is a square with sides of 90 feet. How far is it from home plate to second base?

90 ft90 ft?