Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

AoPS Wiki:Problem of the Day/June 18, 2011

< AoPS Wiki:Problem of the Day
Revision as of 18:06, 17 June 2011 by Btilm305 (talk | contribs) (new problem)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In trapezoid $ABCD$, $m\angle A=m\angle D=90^{\circ}$. Base $AB$ has a length of $9$ while base $CD$ has a length of $15$. Diagonals $AC$ and $BD$ meet at point $X$. If the perimeter of the trapezoid is $42$, find the distance from $X$ to $CD$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Problem_of_the_Day/June_18,_2011&oldid=39678"