A customer wants to make a tee-pee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the tee-pee, and he wants the teepee to be 12 feet across and 8 feet tall. The customer needs to figure out the length of the sides of the teepee so he can figure out how much plumbing he will need.

Question

A customer wants to make a tee-pee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the tee-pee, and he wants the teepee to be 12 feet across and 8 feet tall. The customer needs to figure out the length of the sides of the teepee so he can figure out how much plumbing he will need.

We know the base of the teepee/triangle is 12 feet long. How many feet of PVC pipe would the customer need for just the one side of the tee-pee?

I came to the answer 10 feet of PVC pipe when I checked my original answer, by drawing a tee-pee with these measurements. What I would like to know is how do I solve this problem mathematically? (so that I do not have to draw a visual)

Answer 1

A customer wants to make a tee-pee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the tee-pee, and he wants the teepee to be 12 feet across and 8 feet tall. The customer needs to figure out the length of the sides of the teepee so he can figure out how much plumbing he will need.

We know the base of the teepee/triangle is 12 feet long. How many feet of PVC pipe would the customer need for just the one side of the tee-pee?

I came to the answer 10 feet of PVC pipe when I checked my original answer, by drawing a tee-pee with these measurements. What I would like to know is how do I solve this problem mathematically? (so that I do not have to draw a visual)

Answer 2

The length of each side is the hyppotenuse of a right-angled triangle with base of 6 and height of 8

so
h^2 = 6^2 + 8^2
= 36 + 64
= 100
h = √100 = 10

Answer 3

Thank you! =0)

Answer 4

To solve this problem mathematically, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the side of the teepee forms a right triangle with the base and the height. The base is 12 feet, and the height is 8 feet. Let's call the side of the teepee, which we want to find, as "c".

Using the Pythagorean theorem, we have:

c^2 = 12^2 + 8^2
c^2 = 144 + 64
c^2 = 208
c = √208
c ≈ 14.42 feet

So the length of each side of the teepee would be approximately 14.42 feet.

Since the customer wants four sides of the teepee, he would need a total of approximately 57.68 feet (14.42 feet x 4) of PVC pipe.

ooops

The length of each side is the hyppotenuse of a right-angled triangle with base of 6 and height of 8

Thank you! =0)

To solve this problem mathematically, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.