In a triangle the length of the two larger sides are ${\rm{24}}$ and ${\rm{22}}$, respectively. If the angles are in AP, then the third side is

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

In a triangle the length of the two larger sides are

\mathrm{24}

and

\mathrm{22}

, respectively. If the angles are in AP, then the third side is

View answer and explanation

Correct option: A

12 + 2\,\sqrt {13}

Option A (

12 + 2\,\sqrt {13}

) is correct because it is the value of the third side calculated using the properties of triangles with angles in A.P. and the sine rule.

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