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Question

If the vertices of a triangle are (1,2),(4,6) and (3,5), then its area is

A
232 sq. units
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B
252 sq. units
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C
12 sq.unit
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D
none of these
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Solution

The correct option is B 252 sq. units
Area of triangle having vertices (x1,y1),(x2,y2) and (x3,y3) is given by
Area =12×[x1(y2y3)+x2(y3y1)+x3(y1y2)]
Therefore, area of required triangle is given by
Area =12×[1(65)+4(52)+3(2+6)]
=12[11+12+24]
=12×25
=252 sq.unit

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