JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

k

is the perimeter of

\triangle A B C

, then

b \cos ^2 \frac{C}{2}+c \cos ^2 \frac{B}{2}

is equal to

View answer and explanation

Correct option: C

\frac{k}{2}

Option C (

\frac{{k}}{{2}}

) is correct because by using trigonometric identities and the cosine rule, the expression simplifies to half the perimeter of the triangle.

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2 s