hariel4ianyM hariel4ianyM

04-11-2016
Mathematics

contestada

If the hypotenuse is 41 inches, and one of the legs is 40 inches, what is the length of the other leg in inches?

Respuesta :

04-11-2016

Hyp² = 1leg² + 2leg²

41² = 40² + 2leg²

leg² = 1681-1600

leg = √81

leg = 9

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HomertheGenius HomertheGenius

05-11-2016

We will use the Pythagorean theorem:
c² = a² + b²
41² = 40² + b²
1681 = 1600 + b²
b² = 1681 - 1600
b² = 81
b = √ 81
b = 9 in
Answer: The length of the other leg is 9 inches.

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