Geometric Questions Answers

Geometry - Quant/Math - CAT 2008

Question 4 the day: March 03, 2003

The question for the day is from the topic of Geometry

Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).

(1)	36				(2)	18
(3)	15				(4)	30

Correct Answer - (3)

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Solution:


The area of the triangle formed by the vertices A (X₁, Y₁); B (X₂, Y₂) and C (X₃, Y₃) is given by
                                 X1 - X2
                      1/2  [                   ]
                                 X2 - X3 
The area of triangle whose verticles are (-6, -2), (-4, -6), (-2, 5) is given
             -2 +6
by         [         ]
             -6 -5

              -2  +4

         1/2  [            ]

                 -2    -11

    1/2[ 22- (-8)    = 15 sq unit