Quantitative Aptitude Ques 1248

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

Options:

A) 30 sq units

B) 20 sq units

C) 10 sq units

D) 15 sq units

Show Answer

Answer:

Correct Answer: A

Solution:

  • Here, $ A(8-4), $ so $ x _1=8, $ $ y _1=-4 $ $ B(3,6), $ so $ x _2=3, $ $ y _2=6 $ $ C,(-,2,4), $ so $ x _3=-,2, $ $ y _3=4 $

$ \therefore $ 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}{16+24+20}=\frac{1}{2}\times 60=30squnits $

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