Question 43
Consider the trapezoid $ABCD$ with bases $BC$ and $AD$ such that $AB = BC = CD = 5$ and $AD = 10$. Let $E$ be the intersection point of the diagonals $AC$ and $BD$. The line perpendicular to $AC$ drawn through $E$ intersects the extension of $AB$ at $F$ and the base $AD$ at $H$.
a) Determine the length of $AH$.
b) Determine the length of $AE$.
c) Find the area of the quadrilateral $A F C H$.
a) Determine the length of $AH$.
b) Determine the length of $AE$.
c) Find the area of the quadrilateral $A F C H$.