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Using the Pythagorean Theorem, how do you find the length of side a given that side c=40 and b=20?

1 Answer

Mar 20, 2018

#20sqrt3#

Explanation:

assuming #c# is the hypotenuse we have

#a^2+b^2=c^2#

#:.a^2+20^2=40^2#

#=>a^2=40^2-20^2#

#a^2=(40+20)(4-20)=60xx20=1200#

#a=sqrt(1200)=20sqrt3#

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