## Geometry: Common Core (15th Edition)

48 $m^{2}$
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