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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If c2=a2+b2,  2  s=a+b+c{c^2} = {a^2} + {b^2},\,\,2\;s = a + b + c, then 4s  (s−a)  (s−b)  (s−c)=4s\,\,\left( {s - a} \right)\,\,\left( {s - b} \right)\,\,\left( {s - c} \right) =
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Correct option: C
c2 a2{c^2}\,{a^2}
Option D (a2 b2{a^2}\,{b^2}) is correct because using the given condition c2=a2+b2{c^2} = {a^2} + {b^2} and the area of the triangle, we can deduce that 4s(s−a)(s−b)(s−c)=a2b24s(s-a)(s-b)(s-c) = a^2b^2.

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