You visited us 1 times! Enjoying our articles? Unlock Full Access!

Vector Addition

If in a trian...

Question

If in a triangle, $R$ and $r$ are the circumradius and inradius respectively then the $H M$ of the exradii of the triangle is

3 r

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R + r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $3 r$
H.M of exradii $= \frac{3}{\frac{1}{r_{1}} + \frac{1}{r_{2}} + \frac{1}{r_{3}}}$

$\Rightarrow H . M = \frac{3}{\frac{s - a}{△} + \frac{s - b}{△} + \frac{s - c}{△}} = \frac{3 △}{3 s - (a + b + c)}$

$\Rightarrow H . M = 3 \frac{△}{s} = 3 r$
Ans: A

Suggest Corrections

Similar questions

R

r_{1}, r_{2}

r_{3}

H . P

H . M

△ A B C,

∠ C = \frac{π}{2} .

2 (r + R)

In a triangle ABC, Let , $∠ C = \frac{π}{2}$ , if r is the inradius and R is the circumradius of the triangle ABC, then 2(r+R) equals

△ A B C

∠ C = 90^{o}

△ A B C

2 (r + R)

A B C

∠ C = \frac{π}{2}

r

R

2 (r + R)

Join BYJU'S Learning Program