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08-10-2018
Mathematics

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In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if Chapter Reference a=2 3 , c=2b ?

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remotecontrolbrain remotecontrolbrain

08-10-2018

c = 2b

a = [tex]2\sqrt{3}[/tex]

b = ?

Use Pythagorean equality:

[tex]c^2 = a^2 + b^2\\b^2 = c^2 - a^2\\b^2 = 4b^2 - 12\\b^2 = 4\\[/tex]

b can be only positive so the solution is b=2

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