Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION
 

The area of the trriangle formed by the points A (2,0), B (6,0) and C (4,6) is

OPTIONS
A. 

24 Sq. units

B. 

12 Sq. units

C. 

10 Sq. units

D. 

None of these

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

The area of the triangle formed by the vertices A (2,0), B (6,0) and C (4,6) is given by

                                         large frac {1}{2}left [ 2(0-6)+6(6-0)+4(0-0) right ]

                                      =frac {1}{2}(-12+36+0)=frac {24}{2}=12

Therefore, the area of the triangle = 12 square units.

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