Quantitative Aptitude Ques 1134

Question: Find the area of a triangle whose vertices are $ (1,-1), $ $ (-4,6) $ and $ (-3,-5) $

Options:

A) 20 sq units

B) 22 sq units

C) 24 sq units

D) 3 sq units

Show Answer

Answer:

Correct Answer: C

Solution:

  • Area of triangle $ =\frac{1}{2}| x _1(y _2-y _3)+x _2(y _3-y _1)+x _3(y _1-y _2) | $ $ =\frac{1}{2}| 1(6+5)+(-4)(-5+1)+(-3)(-1-6) | $ $ =\frac{1}{2}| 11+(-4)(-4)+(-3)(-7) | $ $ =\frac{1}{2}| 11+16+21 |=\frac{1}{2}| 48 |=24squnits $
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