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Find the area of a triangle formed by th...

Find the area of a triangle formed by the points `A(5,\ 2),\ B(4,\ 7)\ a n d\ C(7, 4)dot`

Text Solution

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Area of a triangle can be given by,
`A = 1/2(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))`
`A = 1/2(5(11)+4(-6)+7(-5)) = 1/2(55-59) = -4/2 =-2`
As area can not be negative,
Required area is `2` square units.
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