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A 13-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.

A 13foot 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 class=

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Answer: 12.65 ft

Pythagorean theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

So, [tex]a^{2}[/tex] + [tex]3^{2}[/tex] = [tex]13^{2}[/tex]

169 - 9 = 160

[tex]\sqrt{160}[/tex] is 12.65.

Hope it helps.

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