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Question

Area of triangle whose vertices are (0,0),(2,3),(5,8) is ____ square units.

A
12
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B
1
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C
2
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D
32
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Solution

The correct option is D 12
Area of the triangle with three vertices (x1,y1), (x2,y2) and (x3,y3) is
A=12|y1(x2x3)+y2(x3x1)+y3(x1x2)|
Therefore, the area of triangle with vertices (1,2), (3,4) and (5,6) is:
A=12|0(25)+3(50)+8(02)|=12|0+1516|=12|1|=12
Hence, the area of the triangle is 12 square units.

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