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the base of the tent is 72 across the whole way and the hypotenuse is 45
so
to find the length of the stick call it x
half 72 to reduce it to the right hand side triangle
45²-36²=x²
x²=729
x=27 inches
Because of Pythagoras's theorem, we know that for a right triangle, the hypotenuse is [tex]a^2 + b^2 = c^2[/tex]

We know two sides, but one of those is the hypotenuse

[tex]36^2 + b^2 = 45^2[/tex]
[tex]1296 + b^2 = 2025[/tex]
[tex]b^2 = 2025 - 1296[/tex]
[tex]b^2 = 729[/tex]
[tex] \sqrt{b^2} = \sqrt{729}[/tex]
[tex]b = 27[/tex]

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