JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

In a

\triangle A B C, a, b, c, A

are given and

c_1, c_2

are two values of the third side

c

. The sum of the areas of two triangles with sides

a, b, c_1

and

a, b, c_2

View answer and explanation

Correct option: A

\frac{1}{2} b^2 \sin 2 A

Option A (

\frac{1}{2} b^2 \sin 2A

) is correct because the sum of the areas can be expressed in terms of

b

and

A

using trigonometric identities.

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