Least_but_not_the_last's blog

Help me to understand an interesting geometry solution
By Least_but_not_the_last, history, 7 years ago, In English

problem: https://toph.co/p/problem-number-nine-and-three-quarter solution: http://ideone.com/RYkF3m

though I solved it in two different ways. but I can't understand this solution. I tried but couldn't make a communication with the actual writer of the solution. Please help me.

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7 years ago, # |
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Add auxiliary lines as plotted above.

Since , lines NH and MB are parallel. Therefore .


Then find out all lengths and simplify a bit.

Not necessarily the most elegant way, but hope it helps anyway.

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    7 years ago, # ^ |
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    By the way do you know a better way(more elegant)? I solved it by solving equation for two straight line intersecting in a common point.

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      7 years ago, # ^ |
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      No, but I suppose two auxiliary lines won't overcomplicate it.

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