Home
Class 12
MATHS
In a triangle ABC I1, I2,I3 are excentre...

In a triangle ABC `I_1, I_2,I_3` are excentre of triangle then show that `II_(1). II_(2). II_(3)=16R^(2)r.`

Text Solution

Verified by Experts

The correct Answer is:
`II_(1).II_(2). II_(3) =64 R^(3). (r)/(4R)=16R^(2)r`
Promotional Banner

Similar Questions

Explore conceptually related problems

If in a triangle r_1=r_2+r_3+r , prove that the triangle is right angled.

In a triangle, if r_(1) gt r_(2) gt r_(3), then show a gtb gt c.

In a triangle ABC (see figure), E is the midpoint of median AD, show that (i) ar DeltaABE = ar DeltaACE (ii) ar DeltaABE=1/4ar(DeltaABC)

Statement I In a Delta ABC, if a lt b lt c and ri si inradius and r_(1), r_(2) ,r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

ABD is a triangle right angled at A and AC bot BD Show that (i) AB^(2) = BC .BD. (ii) AC^(2) = BC.DC (iii) AD^(2) = BD .CD.

When resistors of resistances R_1 and R_2 (R_2 gt R_1) are connected in series and the currents flowing through them are I_1 and I_2 respectively, then …………….. .

If A,B and C are the angle of a triangle show that (i) |{:(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C):}|=0. (ii) |{:(-1+CcosB,cosC+cosB,cosB),(cosC+cosA,-1+cosA,cosB),(-1+cosB,-1+cosA,-1):}|=0.

When resistors of resistances R_1 and R_2 (R_2 lt R_1) are connected in parallel and the currents flowing through them are I_1 and I_2 respectively, then ……………. .

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

Find the area of the triangle formed by the points P(-1.5, 3), Q(6,-2) and R(-3, 4).