[填空题]
The side lengths of a quadrilateraj3p,;mfh bqdsrs(wt,7hg )o/l ABCD are AB =6 mm, BC =5 m1dg tf/yrq ,bctw7xea6/;y . fm, CD =8 mm, and DA = 9 mm.y;wc/x., fqb age67 yfrd1/tt The angle $\mathrm{A}\hat{\mathrm{B}}\mathrm{C}$ 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