Home
Class 12
MATHS
Let ABC be a triangle having O and I as ...

Let ABC be a triangle having O and I as its circumradius and inradis, respectively then prove that `(IO)^2=R^2-2Rr`. Further show that the triangle BIO is a right angled triangle if and only if b is the rithmetic mean of a and c.

Promotional Banner

Similar Questions

Explore conceptually related problems

In a ABC,quad if sin^(2)A+sin^(2)B=sin^(2)C show that the triangle is right angled.

If 8R^(2)=a^(2) +b^(2) +c^(2). then prove that the Delta is right angled.

If Delta ABC is right-angled triangle,then sum(sin^(2)A) is

If in a ABC,cos^(2)A+cos^(2)B+cos^(2)C=1 prove that the triangle is right angled.

Let ABC be a triangle right angled at C, then what is tanA + tanB equal to?

In right angled triangle ABC, right angled at C, show that tanA+tanB=(c^2)/(ab) .

In a right triangle ABC, right-angled at B, if sin (A - C) = (1)/(2) find the measures of angles A and C

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

If in a triangle r_(1)=r_(2)+r_(3)+r ; Prove that triangle is right angled.