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Problem #5: Triagley thing

Silly Druid

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  • 1 month later...
  • 1 month later...

Ah, geometry, my favorite :>

The answer seems to be correct, although using trigonometry for such a problem is kinda like picking a sledgehammer to crack a nut ;)

Notice that the line connecting the centres of the circles (the double radius) is parallel to the hypotenuse, so if you project these points on the other two legs, you'll get a smaller triangle which has the same shape as the original one (i.e. they're similar, and hence their sides are in proportion). From that you should be able to construct an equation for `r` in terms of the sides.

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