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edit approved Apr 4 at 19:45
ApexPandora
edit approved Apr 4 at 19:45
ApexPandora
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What is the measure of angle A $A$, given |AB|$|AB|$ and |AC|$|AC|$ , such that the incircle of ∆ABC$\triangle ABC$ is maximal?

Here's a problem I just came up with  :

I considered a triangle ABC$\triangle ABC$ such |AB|=11$|AB|=11$ and |AC|=5$|AC|=5$.
I

I asked myself the following question  :
What

What must angle A be when the incircle of ABC has a maximum radius  ?
I

I performed several tests with GeoGebra which led me to determine: A=80°
So $A=80^\circ$. So, I'm wondering if this is correct and if the exact answer can be found through calculation  ?

What is the measure of angle A , given |AB| and |AC| , such that the incircle of ∆ABC is maximal?

Here's a problem I just came up with  :

I considered a triangle ABC such |AB|=11 and |AC|=5.
I asked myself the following question  :
What must angle A be when the incircle of ABC has a maximum radius  ?
I performed several tests with GeoGebra which led me to determine: A=80°
So , I'm wondering if this is correct and if the exact answer can be found through calculation  ?

What is the measure of angle $A$, given $|AB|$ and $|AC|$ , such that the incircle of $\triangle ABC$ is maximal?

Here's a problem I just came up with:

I considered a triangle $\triangle ABC$ such $|AB|=11$ and $|AC|=5$.

I asked myself the following question:

What must angle A be when the incircle of ABC has a maximum radius?

I performed several tests with GeoGebra which led me to determine: $A=80^\circ$. So, I'm wondering if this is correct and if the exact answer can be found through calculation?

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Jamil Sanjakdar
Jamil Sanjakdar
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What is the measure of angle A , given |AB| and |AC| , such that the incircle of ∆ABC is maximal?

Here's a problem I just came up with :

I considered a triangle ABC such |AB|=11 and |AC|=5.
I asked myself the following question :
What must angle A be when the incircle of ABC has a maximum radius ?
I performed several tests with GeoGebra which led me to determine: A=80°
So , I'm wondering if this is correct and if the exact answer can be found through calculation ?