anonymous
  • anonymous
You are helping 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 13 feet long and the bottom of the house is 24 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? http://static.k12.com/eli/bb/817/-1/0/2_36869_44974/-1/5c45df68fdad740c9f94d22ea5f92dd60c7a03f7/media/47fa9ba6bdaca49ec526166ba519bc2ef11b7502/mediaasset_651820_1.jpg 10 ft 5 ft 25 ft 4.5 ft
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Use Pythagorean theorem to solve the problem. a = ? b = half of 24 c = 13 a^2 + b^2 = c^2
anonymous
  • anonymous
Do you still need help?
anonymous
  • anonymous
=12 ?? yeah i dont understand

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anonymous
  • anonymous
Okay, so a equals the missing leg which is the height of the tent. Just plug in b and c. b = 12 and c = 13 into the Pythagorean theorem. Once you receive the solution to b^2 and c^2, subtract b^2 from c^2. That will be the a^2. Square root a^2 to receive the height of the dog house.
anonymous
  • anonymous
|dw:1438828811796:dw| Find x using Pythagorean Theorem. \[x=\sqrt{13^2-12^2}\]
anonymous
  • anonymous
is it 10 ft
anonymous
  • anonymous
What is 169-144?
anonymous
  • anonymous
25
anonymous
  • anonymous
What is\[\sqrt{25}\]?
anonymous
  • anonymous
5
anonymous
  • anonymous
Then 5 is the height of the tent. :)
anonymous
  • anonymous
or the height of the doghouse. :D
anonymous
  • anonymous
ok thank you
anonymous
  • anonymous
You are welcome! :)

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