Question

Find the area of triangle with vertices (1, 2), (-1 4) and to, (0, 8) ​

Answer 1

Area of Triangle = 5.

Given :  vertices (1, 2), (-1 4), (0, 8)

To find: Area of Triangle

Solution:

let us Consider (x1, y1) = (1, 2) , (x2, y2) = (-1, 4) , (x3, y3) = (0, 8).

Now, Area of Triangle with vertices is given by,

Area = (1/2)×║x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)║

Substituting (1, 2), (-1 4), (0, 8) in the above formula,

Area = (1/2) ×║1(4 - 8) + (-1)(8 - 2) + 0×(2 - 4)║,

        = (1/2)×║(-4) + (-6) + 0║,

        = (1/2) ×║(-10)║

        = (1/2)×10

Area = 5.