# Math Help - [SOLVED] Area of a Triangle?

1. ## [SOLVED] Area of a Triangle?

In the xy-plane, what is the area of a triangle whose vertices are ,
, and ?
(A) 3.59 (B) 5.67 (C) 7.91 (D) 11.18 (E) 11.34

2. $A = \frac{1}{2}bh = \frac{1}{2}(5 - \sqrt{2})(\sqrt{10})$

3. Originally Posted by skeeter
$A = \frac{1}{2}bh = \frac{1}{2}(5 - \sqrt{2})(\sqrt{10})$

how did you get b as 5-sqrt2?

Thanks again!!

4. the points on the x-axis are $(5,0)$ and $(\sqrt{2},0)$

the distance between those two values is $5 - \sqrt{2}$