Plot (3,0),(5,0) and (0,4) on cartesian plane. Name the figure formed by joining these points and find its area.
Figure formed is a Rectangle and Area =52 sq. unit
Figure formed is a square and Area =40 sq. unit
Figure formed is a triangle and Area =4 sq. unit
None of these
A
Figure formed is a square and Area =40 sq. unit
B
Figure formed is a Rectangle and Area =52 sq. unit
C
None of these
D
Figure formed is a triangle and Area =4 sq. unit
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Solution
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The figure is a triangle. We know that the area of the triangle whose vertices are (x1,y1),(x2,y2), and (x3,y3) is 12|x1(y2−y3)+x2(y3−y1)+x3(y1−y2)|
Therefore,
Area =12[3(0−4)+5(4−0)+0]=4 square units.
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