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Type: Multiple-Choice
Category: Pythagorean Theorem and Applications
Standards: HSG-SRT.C.8
Author: nsharp1

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# Pythagorean Theorem and Applications Question

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## Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8

Christian is setting up his campsite. For his shelter, he is tying a rope between two trees, completely taught, and then setting a tarp over the rope. The distance between the two trees is 12.5 ft. The tarp is stretched over the rope, with no wrinkles, and there is 3 ft of rope left uncovered at each end. When the corners of the tarp are staked directly into the ground, both openings of the tarp shelter form an equilateral triangle. If the rope is 5 ft off the ground, what is the surface area of the tarp? Round the answer to one decimal place.
1. $37.5 \ "ft"^2$
2. $40.4 \ "ft"^2$
3. $53.0 \ "ft"^2$
4. $75.1 \ "ft"^2$
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