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A 12-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Guest Apr 9, 2020

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$a^2+b^2=c^2$

$12^2+3^2=c^2$

$144+9=c^2$

$153=c^2$

$\sqrt{153}=\sqrt{c^2}$

$c=12.37$

the ladder reaches12.37 feet up the side of the house

bioplant Apr 9, 2020

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bioplant · Answer 1 · 2020-04-09T04:33:40

$a^2+b^2=c^2$

$12^2+3^2=c^2$

$144+9=c^2$

$153=c^2$

$\sqrt{153}=\sqrt{c^2}$

$c=12.37$

the ladder reaches12.37 feet up the side of the house

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