# What is m if area of triangle ABC is 23?A(2,-3),B(3,5),C(-3,m)

### 1 Answer | Add Yours

Since the problem provides the coordinates of the vertices, hence, you should evaluate the area of triangle using the following formula:

`A = (1/2)*|[[x_A,y_A,1],[x_B,y_B,1],[x_C,y_C,1]]|`

`A = (1/2)*|[[2,-3,1],[3,5,1],[-3,m,1]]|`

`A = (1/2)|10 + 3m + 9 + 15 - 2m + 9| `

Since the problem provides the value of area, hence you need to substitute 23 for A such that:

`23 = (1/2)*|43 + m| => 46 = 43 + m => m = 46 - 43 => m = 3`

**Hence, evaluating the value of y coordinate m, under the given conditions, yields m = 3.**

**Sources:**