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Question

The sides of a triangle are given by the equation y2=0,y+1=3(x2) & x+2y=0. Find graphically the area of triangle.

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Solution

x+2y=0(i)
y2=0(ii)
y+1=3(x2)(iii)
solving (i)&(ii)
y=2
x=4
A=(4,2)
solving (ii)&(iii)
y=2 B=(3,2)
x=3
solving (i)&(iii)
y+1=3(2y2)
y+1=6
7y=7
y=1
x=2
c=(2,1)
AB=49+0=7
Distance of c from AB=h
=3units
Area =12×7×3=212=10.5squnits
Hence, the answer is 10.5squnit.



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