Find the area of the triangle with the given vertices 3 7 1

Find the area of the triangle with the given vertices.

(3, 7), (1, 0), (8, 9)

Solution

The area of a triangle formed by joining the points (x, y), (x, y) and (x, y) is

½ |y (x - x) + y (x - x) + y (x - x)| sq. units

Find the area of the triangle with the given vertices.

(3, 7), (1, 0), (8, 9)

Area of the triangle =1/2 { 7(-1-8) + 0(8-3) + 9(3-(-1)) }

                                   =1/2{ 7(-9)+0+9(4) }

                                   =1/2{ -63+36}

                                   =1/2 x 27

                                   =27/2 sq.units