Let's see how smart Veeky Forums really is.
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Three tanging circles are placed on the line OE. The line from O to D is a tangent to the point D. What is the length of AB expressed by the radius?
Let's see how smart Veeky Forums really is
Hudson Miller
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Kevin Green
smart enough to not do your homework for you
homework board is that way
Lucas Davis
Hvad med du selv laver dine lektier, Rasmus?
Ian Sullivan
...
Daniel Hall
Why would you bother bringing trig into it? It's a simple application of Pythagoras.
Angel White
It looks like too much work, and I haven't been in a maths class since high school so this might be wrong, but basically here's what I'd do:
-Draw plan, O is the origin.
- Write the equation of the top semi-circle of the third circle (containing D) as a function f.
- Write the equation of the tangent line to f in any point.
- Solve for the tangent line should pass from the origin, therefore I'd have the actual equation of the tangent line (expressed by the radius)
-Write equation of second top semi-circle.
-Solve for when the tangent equation equals the equation of the second semi-circle, I'd have two solutions (the x coordinates of A and B).
-Find y coordinates of A and B (calculate their images with the equation of the second circle)
Now that I have A and B coordinates, I'd be able to calculate the distance between A and B (the answer to this riddlele).
Grayson Stewart
Your mom is a simple application of Pythagoras.
David Foster
elaborate
Ian Fisher
The (drawn) radius of the 3rd circle is perpendicular to the tangent line OD
Jose Johnson
Argh. Didn't read the question properly. You want AB, not OD.
Yeah, that might require a little trigonometry,