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#1 2015-06-08 12:04:21

championmathgirl
Member
Registered: 2015-06-01
Posts: 20

Tangent Triangle Proofs

Let the incircle of triangle

be tangent to sides
,
, and
at
,
, and
, respectively. Prove that triangle
is acute.

Tangent, I'm new to this forum, I don't know whether the diagram came out.

I got a hint saying to compute the angles of triangle

in terms of the angles of triangle
, but after doing so, got me nowhere.

If I could get some help, that would be great!


Girls can be just as good as boys at math. We just need to get the same encouragement.

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#2 2015-06-08 19:20:17

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Tangent Triangle Proofs

hi championmathgirl

I'm not seeing that diagram but I have seen the problem before.  Answer here:

http://www.mathisfunforum.com/viewtopic.php?id=20456

To post diagrams I use imgur.com

I upload the picture, and then copy the linked  BCCode into my post.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2015-06-09 10:41:46

championmathgirl
Member
Registered: 2015-06-01
Posts: 20

Re: Tangent Triangle Proofs

Is there a way to see if someone else has posted the same problem, so there are not multiple problems, that are the same, being posted?


Girls can be just as good as boys at math. We just need to get the same encouragement.

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#4 2015-06-09 12:36:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Tangent Triangle Proofs

You can try the search function.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2015-06-09 20:34:18

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Tangent Triangle Proofs

How can I be a champiomathgirl?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#6 2015-06-09 20:36:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Tangent Triangle Proofs

Solve the NOHOW problem.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2015-06-09 20:37:54

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Tangent Triangle Proofs

I don't have it.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#8 2015-06-09 20:40:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Tangent Triangle Proofs


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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