[填空题]
The side lengths of a q(lot 3 -f(jask3sl,ob*j 1nv ;af d.eson3m0auadrilateral ABCD are AB =6 mm, mw7pujb5sz;pgef7e2bv yr:8u /pny; m0r/3o BC =5 mm, CD =8 mm, and DA = 9 mm. The ang0z ugvfmew ;b7 pr7py/28r/pms:ynjbo53u;e le $\mathrm{A}\hat{\mathrm{B}}\mathrm{C}$ is equal to $90^{\circ}$.
1.Calculate the length of AC. mm
2.Calculate the size of angle $\mathrm{A}\hat{\mathrm{D}}\mathrm{C}$. $^{\circ}$
3.Calculate the area of triangle ACD. $mm^2$
4.Calculate the area of quadrilateral ABCD. $mm^2$
A point P is chosen on the side CD in a such a way that the area of triangle ACP is equal to the area of the triangle ABC.
5.Calculate the length of CP. mm
6.Calculate the length of AP. mm