The vertices of a triangle have coordinates $(1,1),(7,1)$ and $(5,3)$. What is the area of this triangle?
(A) 12
(B) 8
(C) 6
(D) 7
(E) 9
The vertices of a triangle have coordinates $(1,1),(7,1)$ and $(5,3)$. What is the area of this triangle?
(A) 12
(B) 8
(C) 6
(D) 7
(E) 9

## Solution

Draw the triangle on the coordinate axes. This triangle has a base of 6 and a height of 2 . Its area is $\frac{1}{2}(6)(2)=6$.

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-279.jpg?height=414&width=572&top_left_y=438&top_left_x=1362)

ANSWER: (C)