A geometry problem by Ahmed Moh AbuBakr

Geometry Level 5

What is the supremum value of A E A B + A F A C \dfrac {AE}{AB} +\dfrac {AF}{AC} ?


The answer is 2.000.

Ahmed Moh AbuBakr by Ahmed Moh AbuBakr , 22, Egypt

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1 solution

Ahmed Moh AbuBakr
May 27, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused

your solution is much better than mine. I used only trig and at the end came up with 2(cos(alpha)-(sin^2alpha)/cos(...)+cos(...) which is less than 2cos(alpha) and taking lim as alpha tends to zero we get 2.

Bhaskar Pandey - 3 years, 10 months ago

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thank you very much

Ahmed Moh AbuBakr - 3 years, 10 months ago

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