#### Answer

24 m^2

#### Work Step by Step

The formula used for a triangle is A=1/2bh
However, your height is missing. To find the base, use the Pythagorean Theorem: a^2+b^2=c^2
Your c will always be the side of the triangle OPPOSITE from the right angle. c= 10 m.
8^2+b^2=10^2
64 m +b^2=100 m
Subtract 64 from both sides.
b^2= 36 m
Square root both sides.
The square root of 36 m= 6 m.
Your height= 6 m.
Now, use the formula to find the area of the triangle.
A= 1/2bh
A= 1/2(8 m)(6 m)
A= 24 m^2