Silly Druid 7,026 November 21, 2023 Share November 21, 2023 (edited) Let's do some geometry for a change: Both circles here are the same size. Calculate their radius. Edited November 21, 2023 by Silly Druid 1 Link to comment Share on other sites More sharing options...
Brony Number 42 10,069 December 24, 2023 Share December 24, 2023 r = 5 / 7 What do you think? This is my new signature. Link to comment Share on other sites More sharing options...
SasQ 1,376 January 28, 2024 Share January 28, 2024 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. 1 My best posts list Recent post: Language Exchange Link to comment Share on other sites More sharing options...
Brony Number 42 10,069 January 28, 2024 Share January 28, 2024 5 hours ago, SasQ said: Notice that the line connecting the centres of the circles (the double radius) is parallel to the hypotenuse That was the key to my solution. This is my new signature. Link to comment Share on other sites More sharing options...
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