Question

Find area of the triangle abc so that A(-4,6),b(-5,-1),c(5,3)​

Answer 1

the area of triangle ABC is 33/2 square units.

Explanation:

To find the area of triangle ABC, we can use the following formula:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices of the triangle.

Substituting the coordinates of vertices A, B, and C, we get:

Area = 1/2 * |(-4)(-1 - 3) + (-5)(3 - 6) + (5)(6 - (-1))|

Area = 1/2 * |33|

Area = 33/2

Therefore, the area of triangle ABC is 33/2 square units.