Solution 65: Tangent Circles and Angle Chasing

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Let's follow 90 degree angles and 60 degree angles until we completely analyze triangle ACD.

Congratulations to Gabriel N., Minh Cong Nguyen, Hung Hin Sun, Jeremy Weissmann, Ricardo Mogollon, adandap, santosh tripathy, JivaRaj Shetty, Quwertyn, Florent Bréart for successfully solving this week's math challenge question! Gabriel N. was the first person to solve the question.

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These problems are always really fun to see solved. Please keep these weekly math challenges going!

benburdick
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imagine actually solving math problems

this post was made by wolframalpha gang

dr.mikelitoris
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When I see the word 'tangent circles', Ford circles came to mind. Please make video about Ford circles! :D

sab
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How do we know D lies on the segment AB? The way the problem is phrased, it seems like AB and BD could be diameters that meet at an angle, rather than being colinear.

willbishop
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I would have as much success in flapping my arms to fly to the moon as trying to produce this solution...

adandap