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# a carpenter uses a 12 foot timber to brace a wall frame 8 feet high. if the construction site is level what is the distance the timber will

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a carpenter uses a 12 foot timber to brace a wall frame 8 feet high. if the construction site is level what is the distance the timber will extend out from the wall frame ?

geometry

Feb 7, 2019

#1
+6196
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$$\text{Assuming the wall is plumb, the timber, the wall, and the ground form a right triangle}\\ \text{Using the pythagorean theorem and recognizing that the brace will be the hypotenuse we have}\\ \ell = \sqrt{12^2-8^2} = \sqrt{144-64} = \sqrt{80}=4\sqrt{5}~ft$$

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Feb 7, 2019

#1
+6196
+2

$$\text{Assuming the wall is plumb, the timber, the wall, and the ground form a right triangle}\\ \text{Using the pythagorean theorem and recognizing that the brace will be the hypotenuse we have}\\ \ell = \sqrt{12^2-8^2} = \sqrt{144-64} = \sqrt{80}=4\sqrt{5}~ft$$

Rom Feb 7, 2019
#2
+42
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Thank you.

yes I'm sure that the Pythagorean theorem was needed.

boominA  Feb 7, 2019
edited by Guest  Feb 7, 2019