Question

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​ ?

Answer 1

Given

A triangle.

with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​

Find out  the area of a triangle.

To proof

Formula

$Area\ of\ triangle = \frac{1}{2}[ x_{1} (y_{2} -y_{3} ) + x_{2} (y_{3} - y_{1})+x_{3}(y_{1}-y_{2})$

As given the vertices at (−2, 1) , (2, 1) , and ​ (3, 4)

put in the above equation

we get

$= \frac{1}{2} [-2(1-4)+ 2 (4-1) + 3 ( 1-1) ]$

solving

$= \frac{1}{2} [6 + 6]$

thus

$=\frac{1}{2} [12]$

area of the triangle is 6 units².

Hence proved

Answer 2

Answer:

6 Units.

Step-by-step explanation:

I took the test other answer is right too