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Please solve with explanation (high points)

Please solve with explanation (high points)-example-1
User Cya
by
8.3k points

1 Answer

7 votes

So, we know that:


A=(1)/(2)ab\\P=a+b+c\\a^2+b^2=c^2

We also know that
(a+b)^2=a^2+2ab+b^2. We will use that fact to find
c in terms of
A and
P.


A=(1)/(2)ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c

Therefore:


(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=(P^2-4A)/(2P)

Please solve with explanation (high points)-example-1
User Aaron Cooley
by
8.6k points

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