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A handyman needs to create triangular trusses to frame out the roof of a small shed. He knows the roof itself will be 8 feet tall and the base length of each truss will be 15 feet. How long will the roof be from its highest to lowest point?

Respuesta :

Answer:

17 feet

Step-by-step explanation:

To determine the length of the roof from its highest to lowest point, we simply find the length of the hypotenuse in the right triangle formed.

Applying Pythagoras theorem

Length of the roof

[tex]=\sqrt{15^2+8^2}\\ =\sqrt{289}\\ =17 \: feet[/tex]

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