Will You Use Rolle's Theorem in this geometry problem!

Geometry Level 5

In A Triangle ABC Right Angled At C , The Median Through B Bisects The Angle Between BA And The Bisector Of Angle ABC .

Call

X = AB/BC

If The Range Of Values Of X Can Be Expressed As (a,b)

Then Determine The Value Of b-a

Not Original


The answer is 0.5.

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1 solution

Spandan Senapati
May 10, 2017

Relevant wiki: Cubic Equations

Hint-using the given conditions and assuming the ratio to be t t form a cubic in t t and check for the range of t t .t lies between ( 5 / 2 , 3 ) (5/2,3) .

Can you please explain more

Navin Murarka - 3 years, 7 months ago

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It's a past INMO question. Just Google the solution

Spandan Senapati - 3 years, 7 months ago

They are not the best bounds

rajdeep brahma - 2 years, 6 months ago

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