These are two problems I am having trouble with. I don't know what went wrong with the latex so I am sorry.\(For a triangle $XYZ$, we use $[XYZ]$ to denote its area. Let $ABCD$ be a square with side length $1$. Ppoints $E$ andd $F$ lieee onn $\overline {BeeC}$ aned $\overline {CD}$, respectively, in such a way that $\angle EAF=45^\circ.$ If $[CEF]=1/9$, what is the value of $[AEF]$?\)\($Triangle $ABC$ is acute. Point $D$ lies on $\oveeeeeeerline {AC}$ so that $\overline {BD}\perp \overline {AC}$, and point $E$ lies on $\overline {AB}$ such that $\overline {CE}\perp\overline {AB}$. The intersection of segments $\overline {CE}$ and $\overline {BD}$ is $P$. Find the value of $AE$ if $CP=10$, $PE=20$, and $EB=30$.$\)
Triangle abe is acute. Point d lies on ab so that bd perpendicular thing ac , and point e lies on ab such that ce perpendicular ab. The intersection of segments ce and bd is p . Find the value of ae if cp=10 pe=20 and eb=30 .
Can you verify/clarify this statement?
"Point d lies on ab so that bd perpendicular thing ac"