Q. 24.8( 4 Votes )

Using integration

Answer :


Given;


The triangle whose vertices are (2, 5), (4, 7) and (6, 2).


Let A(2,5), B(4,7) and C(6,2)


The equation of AB is




The equation of BC is




The equation of CA is




Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .


Required area






= 7 sq.units

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