Difference between revisions of "2021 JMC 10 Problems/Problem 10"
Skyscraper (talk | contribs) (Created page with "==Problem== Let <math>ABCD</math> be a square with sides of length <math>4.</math> Point <math>X</math> is on side <math>{CD}</math> and point <math>Y</math> is on side <math...") |
(No difference)
|
Latest revision as of 16:13, 1 April 2021
Problem
Let be a square with sides of length
Point
is on side
and point
is on side
such that
and angle
is right. What is
Solution
By Pythagoras, Furthermore,
implying that
Let
Because of the similarity,
So
and by Pythagoras,
and
The answer is