CBSE Class 10 Answered
Please solve this question
Asked by vikasg13.hardware | 30 Jun, 2018, 07:09: AM
Expert Answer
We have following standard results:
1) If O is the circumcentre of triangle ABC then angle subtended by BC at O is twice the angle subtended at A. So that angle BOC=2 angle BAC
2) If H is the orthocentre then angle made by BC at H and angle BAC are supplementary. Thus angle BHC+ angle BAC =180
3) If I is the incentre then angle BIC = 90+A/2
4) Angle made in the same side of the arc of the circle are equal.
We have been given that H, I, B, C are on the same circle
Thus BHC=BIC (from property 4)
Thus 180-BAC=90+A/2 (Using property 2 and 3)
Or 90=BAC+BAC/2=3BAC/2
Thus BAC=2*90/3=60
Hence BOC=2BAC=2*60=120(Using property 1 and the above result)
Answered by Arun | 10 Jul, 2018, 10:18: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by raopaidi | 25 Apr, 2024, 04:06: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by aditikaldate7 | 21 Apr, 2024, 03:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathaksuman622 | 21 Apr, 2024, 11:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mraniruddha03 | 02 Apr, 2024, 06:44: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT