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05-06-2018
Mathematics

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A right traingle hypotenuse has length 7 if one leg has length 3 what is the length of the other leg

Respuesta :

10-06-2018

c = 7 - a hypotenusea = 3 - a legb = ? - a leg
Use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute:
[tex]3^2+b^2=7^2\\\\9+b^2=49\ \ \ |-9\\\\b^2=40\to b=\sqrt{40}\\\\b=\sqrt{4\cdot10}\\\\b=2\sqrt{10}[/tex]

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