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`        If in a triangle ABC, the exradii r1, r2, r3 are such that r1=2r2=3r3 then prove that the triangle is right angled . Also find a:b:c.`
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,r1=2r2=3r3Thenr1/6=r2/3=r3/2 =k using ratiosHence r1=6k,r2=3kr3=2kHence using the property of solution of trianle the required triangle is equilateral.Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.All the best.Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..Askiitians ExpertSagar SinghB.Tech, IIT Delhi
```
7 years ago
Nirabhra Agrawal
33 Points
```										Dear Sagar ji,
Will you please solve this question in full as I could not prove the required results with the hints given by you. Few days back I had called and requested you for the same.Thanks.
G P Agrawal
F/o Nirabhra Agrawal
```
7 years ago
Shashank agrawal
13 Points
```										r1=6r by using a property 1/r1+1/r2+1/r3=1/rAs,r1=stanA/2, r=(s-a)tanA/2 ,So,s/(s-a)=6a=5s/6Similarly,b=2s/3,c=s/2,So,triangle is right angled at A
```
one year ago
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