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Answer:

17 feet

Step-by-step explanation:

The structure is shaped as a right triangle.

Use the Pythagorean theorem to solve for 'c' or the hypotenuse.

[tex]a^2+b^2=c^2\\\\8^2+15^2=c^2\\\\64+225=c^2\\\\289=c^2\\\\\sqrt{289} =\sqrt{c^2}\\\\17, -17 = c\\\\\text{Disregard negative value.}\\\\\boxed{17=c}[/tex]

The hypotenuse should be 17 feet.

Hope this helps!

Answer: 17 ft.

Step-by-step explanation: By using the pythagorean theorem (a^2 + b^2 = c^2) for right triangles, you should be left with the given equation after plugging in the values of the legs:

8^2 + 15^2 = c^2

Now simplify the squares

64 + 225 = 289 (c^2)

Now to find the exact value of the hypotenuse (c), square root the value of c^2.

√289 = 17

The hypotenuse of the triangles is 17 ft.

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