+13 Consider the following diagram:
Then what are the lengths of AE and CE equal to, in that order?
+2666 Let \(AE= x \) and \(CE = y\)
From \(\triangle AEC\), we have the equation: \(x^2 + y^2 = 81\)
Using the Pythagorean Theorem on \(\triangle CAD\) and \(\triangle DAB\), we find that \(DB = 12 \sqrt {2} \)
Also, from \(\triangle BEC\), we have the equation: \((x+7)^2 + y^2 = (12 \sqrt 2)^2\)
Now we just need to solve the system for x and y.
Can you take it from here?
