#### Answer

48 $m^{2}$

#### Work Step by Step

First, find the height of the triangle by using the Pythagorean Theorem
$a^{2}$+$b^{2}$=$c^{2}$
$6^{2}$+$b^{2}$=$10^{2}$
36+$b^{2}$=100
$b^{2}$=64
b=8
The formula for the area of a triangle is A=$\frac{1}{2}$bh
A=$\frac{1}{2}$bh
A=$\frac{1}{2}$(12)(8)
A=48