The height of a triangular truss is 8ft less than the base. The amount of drywall needed to cover the triangular area is 86ft^2. Find the base and height of the triangle. Round your answer to the nearest tenth of a foot

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 32AR: A circular plate with a 15.00-inch radius is cut from a rectangular aluminum piece that is 3'0.0"....
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The height of a triangular truss is 8ft less than the base. The amount of drywall needed to cover the triangular area is 86ft^2. Find the base and height of the triangle. Round your answer to the nearest tenth of a foot.
 
 
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Hello, can step by step be shown from step 2 of: 8+or-sqrt64-4(1)(-172)/2 ? I am concerned on how it gotbthe answers 17.7 and 9.7.  Thank you!

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In step 2 , how did 86=1/2 x (x-8) turn to x^2-8x-172=0? Thank you, God bless.

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