Find X
Find X
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15 brainlet
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explain
24
You just realign the deflector to the matrix of the hyphothenuse that you get when you use pythagoras on the triangles that you get when you connect the anode and the kathode. Basic neurology
Consider the bottom left corner as the origin of the complex plane and let the the segment of length 12 make an angle a with the real axis. It is easily seen that the other end of the diagonal passing through the origin is [math] 12e^{i a} + 3ie^{i a} + 9e^{ia} = (21 + 3i)e^{ia}[/math], so the area of the square will be (21^2 + 3^2) / 2 = 225 = 15^2, so the side length is 15.
in english doc
15
It's easy to see that
x = 12 cos(a) + 3 cos(pi/2 + a) + 9 cos(a)
x = 12 sin(a) + 3 sin(pi/2 + a) + 9 sin(a)
solve this system to get x=15.
Draw the diagonal and then continue either the line of length 12 or of length 9 until you can create a right triangle with sides 21 and 3, with the diagonal as the hypotenuse. So the diagonal is 15sqrt2.
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