Q2 of 21 Page 8

Using integration find the area triangle ABC whose vertices have coordinates A(2, 5), B(4, 7) and C(6, 2). [CBSE 2011]


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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