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Question

The area (in sq units) of the triangle formed by the points (2,2), (5,5) and (6,7)is


A

92

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B

5

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C

10

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D

32

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E

14

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Solution

The correct option is D

32


Explanation for correct answer:

Determining the area of the traingle:

Given three points of a triangle are (2,2), (5,5) and (6,7).

Now let us suppose ,

(x1,y1)=2,2

(x2,y2)=5,5

(x3,y3)=6,7

We know that the area of a triangle, with coordinates is given as:

Area=12x1y2-y3+x2y3-y1+x3y1-y2=1225-7+57-2+62-5=122×-2+5×5+6×-3=12-4+25-18=32

Therefore the area of the triangle is equal to 32squareunits

Hence, the correct answer is option (D).


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