a man builds a teepee in his back yard. the width of the teepee is 12ft. The height of the teepee is 8 feet. How long is the length of the pipes?
The length of the pipes is the hypotenuse of a right angle triangle.
Use the Pythagorean theorem, with c = hypoteneuse length.
a^2 + b^2 = c^2
Note that the width of the triangle is 6 feet.
Pthagorean theorem: square root of (6*6+8*8) is 10.
To find the length of the pipes needed to build the teepee, we 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 height of the teepee forms one side of a right triangle, and the width forms the other side. The length of the pipes represents the hypotenuse.
So, using the Pythagorean theorem, we can calculate the length of the pipes with the following formula:
length of pipes = sqrt(height^2 + width^2)
Substituting the given values, the formula becomes:
length of pipes = sqrt(8^2 + 12^2)
Now we can calculate it:
length of pipes = sqrt(64 + 144)
length of pipes = sqrt(208)
Taking the square root of 208 gives us the answer:
length of pipes ≈ 14.42 feet (rounded to two decimal places)