To find the base of this triangle, you can use Pythagorean Theorem, since it is a right triangle. In Pythagorean Theorem, you take the two sides as a and b, and the hypotenuse as c.
Pythagorean Theorem: a^2+b^2=c^2.
In this case: a^2+12^2=20^2.
After solving that: a^2=256.
Square root both sides.
a=16.
Now, you can find the area, given 1/2 of 12*16. 12*16=192. 192/2=96.
Your answer would be F. 96 cm^2.
Hope this helps!