JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

If in

\Delta \;ABC,\sin \frac{A}{2}\sin \frac{C}{2} = \sin \frac{B}{2}

and

2s

is the perimeter of the triangle, then s is

View answer and explanation

Correct option: A

2b

Option A (

2b

) is correct because, given

\sin \frac{A}{2}\sin \frac{C}{2} = \sin \frac{B}{2}

, it can be shown that

s = 2b

using trigonometric identities and the definition of

s

as the semi-perimeter.

More Questions from PROPERTIES OF TRIANGLES

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{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