Question

Question #5ec05

Answer 1

`10` sq. units.

Explanation:

Let `(x_1, y_1), (x_2, y_2) and (x_3, y_3)` be the co-ordinates of the vertices `A, B, C` respectively of the triangle `ABC`. Then area
`Delta ABC = 1/2| x_1 (y_2 - y_3) + x_2 (y_3 – y_1) + x_3 (y_1 – y_2) |`sq. units.

Given `(-2, 1), (1, 3) and (5, -1)`
`:. Delta ABC =1/2| -2(3- (-1)) + 1 (-1 – 1) + 5 (1 – 3)|`
`=> Delta ABC = 1/2| -2(4) + 1 (-2) + 5 (– 2)|`
`=> Delta ABC = 1/2| -8 -2 – 10|`
`=> Delta ABC = 10` sq. units.