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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) and C(7, -4).

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The given points are `A(-1,11),B(-9,-8)`, and `C(15,-2)`.
`AB=sqrt(64+361)=sqrt(425)`
`BC=sqrt(576+36)=sqrt(612)`
`AC=sqrt(256+169)=sqrt(425)`
Thus, `AB=ACneBC`.
Therefore, triangle is isosceles, and in an isosceles triangle, all centres are collinear.
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