① Find the area of △ABC, I believe you will. Multiply two right angles and divide by 2,6x8x1/2 = 24.

② Find the length of CD. Use equal area method to find AC X BC=AB X CD, and use Pythagorean theorem to find AB= 10, then CD=(6x8)/ 10=4.8.

③ Make a midline AE on the BC side of △ABC, and find the area of △ABE.

Mid-line AE is good. It divides the area of △ABC into two parts, so the area of △ABE is 24/2= 12.

I see. Rice?