In a $\Delta ABC,\;{\rm{if}}\;b + c = 2a$ and $\angle A = 60^\circ $, then $\Delta ABC$ is

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

In a

\Delta ABC,\;\mathrm{if}\;b + c = 2a

and

\angle A = 60^\circ

, then

\Delta ABC

View answer and explanation

Correct option: A

Equilateral

Option A (Equilateral) is correct because given the condition

b + c = 2a

and

\angle A = 60^\circ

, the triangle must be equilateral.

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