Difference between revisions of "2002 AMC 10B Problems/Problem 22"
(created page, added problem, solution, need box) |
(No difference)
|
Revision as of 00:01, 30 December 2008
Problem
Let be a right-triangle with
. Let
and
be the midpoints of the legs
and
, respectively. Given
and
, find
.
Solution
Let and
. By the Pythagorean Theorem,
and
We wish to find
. So, we add the two equations, multiply by
, and take the squareroot to get