Home
Class 12
MATHS
Let H be the orthocentre of triangle ABC...

Let H be the orthocentre of triangle ABC. Then angle subtended by side BC at the centre of incircle of `Delta CHB` is

A

`(A)/(2)+90^(@)`

B

`(B+C)/(2)+90^(@)`

C

`(B-C)/(2)+90^(@)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`angle BIC = 180^(@)-(90^(@)-C)/(2)-(90^(@)-B)/(2)`
`=(B+C)/(2)+90^(@)`
Promotional Banner

Topper's Solved these Questions

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|13 Videos
  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Archives|1 Videos
  • STATISTICS

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

If the bisector of angle A of triangle ABC makes an angle theta with BC, then sin theta is

Let O be the circumcentre and H be the orthocentre of an acute angled triangle ABC. If A gt B gt C , then show that Ar (Delta BOH) = Ar (Delta AOH) + Ar (Delta COH)

(ii) Orthocentre of the triangle ABC is O, If angle BAC=40^@ , then angle BOC=

O is the orthocentre of Delta ABC and AD bot BC . If AD is produced it interect the circumcircle of Delta ABC at the point G. Prove that OD= DG .

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If BC = 6, AC = 8 , then the length of side AB is equal to

If the median AD of triangle ABC makes an angle pi/4 with the side BC, then find the value of |cotB-cotC|dot

(viii) O is the orthocentre of Delta ABC. If angle BOC=4 angle BAC , then find angle BOC and angle BAC .

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If AC = 1, then the length of the median of triangle ABC through the vertex A is equal to