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Question: If a<sup>2</sup>+ b<sup>2</sup> = c<sup>2</sup>, then s(s – a) (s – b) (s – c) is equal to:...

If a2+ b2 = c2, then s(s – a) (s – b) (s – c) is equal to:

A

a2b2

B

14a2b2\frac { 1 } { 4 } a ^ { 2 } b ^ { 2 }

C

12a2b2\frac { 1 } { 2 } a ^ { 2 } b ^ { 2 }

D

12ab\frac { 1 } { 2 } a b

Answer

14a2b2\frac { 1 } { 4 } a ^ { 2 } b ^ { 2 }

Explanation

Solution

∴ ∠C = 900

∴ s (s – a) (s – b) (s – c) = ∆2 = =