If the radius of the incircle of a triangle with its sides $5\,k,\,\,6\,k$, and $5k$ is ${\rm{6}}$, then $k$ is equal to

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

If the radius of the incircle of a triangle with its sides

5\,k,\,\,6\,k

, and

5k

\mathrm{6}

, then

k

is equal to

View answer and explanation

Correct option: B

\mathrm{4}

Option B,

\mathrm{4}

, is correct because it is the value of k calculated by equating the area of the triangle using Heron's formula and the formula involving inradius.

Practice All Chapter MCQs →

{p_1},{p_2},{p_3}

\Delta \;ABC

A,B,C

\Delta

p_1^{ - 2} + p_2^{ - 2} + p_3^{ - 2}

5k,\;6k,\;5k

k

\Delta \,ABC

a = \left( {b - c} \right)\sec \theta

\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} =

\Delta \;ABC,\frac{{b + c}}{a}

\Delta = {a^2} - {\left( {b - c} \right)^2}

\Delta

\Delta \;ABC

\tan A

A

2 s