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Find the area of a triangle whose vertic...

Find the area of a triangle whose vertices are `(1,\ -1),\ (-4,\ 6)\ a n d\ (-3,\ 5)dot`

Text Solution

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Area of a triangle, `A = `
`1/2(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))`
`A = 1/2(1(11)+(-4)(-4)+(-3)(-7)) = 1/2(11+16+21) = 24`
so, area is `24` square units.
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Knowledge Check

  • Find the area of the triangle, whose vertices are (2,1), (4,5) and (6,3).

    A
    `3`
    B
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    C
    `9`
    D
    `12`

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