A) \[{{s}^{4}}\]
B) \[{{b}^{2}}{{c}^{2}}\]
C) \[{{c}^{2}}{{a}^{2}}\]
D) \[{{a}^{2}}{{b}^{2}}\]
Correct Answer: D
Solution :
| \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}\] |
| \[\Rightarrow \angle C=\frac{\pi }{2}\] |
| \[\therefore \Delta =\frac{1}{2}ab\,\,\sin \,\,C=\frac{1}{2}ab\] |
| \[\Rightarrow \sqrt{s\,\,(s-a)\,\,(s-b)\,\,(s-c)}=\frac{1}{2}ab\] |
| \[\Rightarrow 4s\,\,(s-a)\,\,(s-b)\,\,(s-c)={{a}^{2}}{{b}^{2}}\] |
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