Quantitative Aptitude Ques 688

Question: Find the area of $ \Delta ABC $ whose vertices are $ A,(8,-4), $ $ B,(3,6) $ and $ C,(-,2,4). $

Options:

A) 40 sq units

B) 30 sq units

C) 20 sq units

D) 15 sq units

Show Answer

Answer:

Correct Answer: B

Solution:

  • Area of $ \Delta ABC=\frac{1}{2}| {x _1(y _2-y _3)+x _2(y _3-y _1) . $ $ . +x _3(y _1-y _2)} | $ $ =\frac{1}{2}| {8,(6-4)+3,(4+4-2,(-,4-6)} | $ $ =\frac{1}{2}| (8\times 2+3\times 8-2\times -10) | $ $ =\frac{1}{2}| 16+24+20 | $ $ =\frac{1}{2}| 60 |=30squnits $
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