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The sides of a triangle are given by sqr...

The sides of a triangle are given by `sqrt(a^(2) + b^(2)), sqrt(c^(2) + a^(2))` and `sqrt(b ^2+ c^2)` where `a, b, c` are positive. What is the area of the triangle equal to ?

A

`sqrt(a^(2) + b^(2) + c^(2))/2`

B

`sqrt(a^(2)b^(2) + b^(2)c^(2) + c^(2)a^(2))/2`

C

`(a(b+c))/2`

D

`sqrt(3(a^(2)b^(2) + b^(2)c^(2)+ c^(2)a^(2)))/2`

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