You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent. The slanted sides are 5 feet long and the bottom of the house is 8 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is?

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You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent. The slanted sides are 5 feet long and the bottom of the house is 8 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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9 ft 4 ft 16 ft 4.5 ft
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@e.mccormick
The problem states the distance on the ground is 8 ft, but the figure shows 6 ft.
Let's say the figure is correct. |dw:1437426340570:dw|
We can use the Pythagorean theorem: \((3~ft)^2 + h^2 = (5 ~ft)^2 \) \(9~ft^2 + h^2 = 25~ft^2\) \(h ^ 2 = 16~ft^2\) \(h = 4~ft\)

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