Answer
18 $m^{2}$
Work Step by Step
Given A 45-45-90 triangle has a leg measuring 6 m. To find area of triangle.
In 45-45-90 triangle two angles are equal so opposites sides of the two angles must be equal.
So the measurement of the two legs is 6 m
Area of triangle = $\frac{1}{2}$b* h
= $\frac{1}{2}$* 6 * 6
= 3 * 6
= 18 $m^{2}$
Area of 45-45-90 triangle = 18 $m^{2}$.