Question

What is the area of the triangle formed from (-2,2), (1,2), and (0,-6)?

A.12 square units
B.48 square units
C.8 square units
D.24 square units

Answer 1

Explanation:

A. 12

Answer 2

Option A.12 square units

Explanation:

Let

`A(-2,2), B(1,2), C(0,-6)`

Plot the vertices

see the attached figure

we know that

The area of triangle is equal to

`A=(1)/(2)(b)(h)`

where

`b=AB=(1-(-2))=3\ units`

`h=(2-(-6))=8\ units`

substitute

`A=(1)/(2)(3)(8)`

`A=12\ units^(2)`