Find the base and use 1/2bh formula to find the area.

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!

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)