A) \[28\frac{1}{2}\] sq units
B) \[37\frac{1}{2}\]sq units
C) 57 sq units
D) 75 sq units
Correct Answer: B
Solution :
Here \[{{x}_{1}}=3,\]\[{{x}_{2}}=-4,\]\[{{x}_{3}}=5,\]\[{{y}_{1}}=8,\]\[{{y}_{2}}=2\] and\[{{y}_{3}}=-1\] \[\Delta =\frac{1}{2}[{{x}_{1}}({{y}_{2}}-{{y}_{3}})+{{x}_{2}}({{y}_{3}}-{{y}_{1}})+{{x}_{3}}({{y}_{1}}-{{y}_{2}})]\] \[=\frac{1}{2}[3(2+1)-4\,\,(-1-8)+5\,\,(8-2)]=\frac{1}{2}''\{9+36+30\}\] \[=\frac{75}{2}=37\frac{1}{2}\]sq units
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