SOLUTION: Three pieces of lumber are to be connected to form a right triangle that will be part of the frame for a roof. If the horizontal piece is 12 feet and the vertical piece is 5 feet,

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Question 869216: Three pieces of lumber are to be connected to form a right triangle that will be part of the frame for a roof. If the horizontal piece is 12 feet and the vertical piece is 5 feet, how long must the connecting piece be?
The length of the connecting piece is ___ feet?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The right triangle looks like this:
The connecting piece measures x feet, and according to the Pythagorean theorem
x%5E2=12%5E2%2B5%5E2
x%5E2=144%2B25
x%5E2=169
x%5E2=13%5E2
highlight%28x=13%29 .