Home
Class 12
MATHS
In triangle ABC internal angle bisector ...

In `triangle ABC` internal angle bisector AI,BI and CI are produced to meet opposite sides in `A',B',C'` respectively. Prove that the maximum value of `(AIxxBIxxCI)/(A A'xxBB'xxCC')` is `8/27`

Promotional Banner

Similar Questions

Explore conceptually related problems

In triangle ABC internal angle bisector AI,BI and CI are produced to meet opposite sides in A',B',C' respectively. Prove that the maximum value of (AIxxBIxxCI)/(A A'xxBB'xxC C') is 8/27

In triangle ABC internal angle bisector AI,BI and CI are produced to meet opposite sides in A',B',C' respectively. Prove that the maximum value of (AIxxBIxxCI)/(A A'xxBB'xxC C') is 8/27

In triangle ABC internal angle bisector AI,BI and CI are produced to meet opposite sides in A',B',C' respectively. Prove that the maximum value of (AIxxBIxxCI)/(A A'xxBB'xxC C') is 8/27

In triangle ABC internal angle bisector AI,BI and CI are produced to meet opposite sides in A',B',C' respectively. Prove that the maximum value of (AIxxBIxxCI)/(A A'xxBB'xxC C') is 8/27

In /_ABC internal angle bisector AI,BI and CI are produced to meet opposite sides in A',B',C' respectively.Prove that the maximum value of (AI xx BI xx CI)/(AA'xx BB'xx C') is (8)/(27)

The bisectors of the angles B and C of a triangle ABC, meet the opposite sides in D and E respectively.If DE|BC, prove that the triangle is isosceles.

In a triangle ABC, the bisector of angle A meets the opposite side at D.Using vectors prove that BD:DC=c:b.

The bisectors of the angles B and C of a triangle A B C , meet the opposite sides in D and E respectively. If DE||BC , prove that the triangle is isosceles.

In Delta ABC , internal angle bisector of angle A meets side BC in D. DE bot AD meets AC in E and AB in F. Then

In Delta ABC with fixed length of BC, the internal bisector of angle C meets the side AB at D and meet the circumcircle at E. The maximum value of CD xx DE is