Question

Find the area of the triangle with the vertices (2,1), (10,-1),
and(-1,8).

Answer 1

The area of triangle is 25 square units.

Explanation:

Given information: Vertices of the triangle are (2,1), (10,-1), and (-1,8).

Formula for area of a triangle:

`A=(1)/(2)|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|`

The given vertices are (2,1), (10,-1), and (-1,8).

Using the above formula the area of triangle is

`A=(1)/(2)|2(-1-8)+10(8-1)+(-1)(1-(-1))|`

`A=(1)/(2)|2(-9)+10(7)+(-1)(1+1)|`

`A=(1)/(2)|-18+70-2|`

On further simplification we get

`A=(1)/(2)|50|`

`A=(1)/(2)(50)`

`A=25`

Therefore the area of triangle is 25 square units.