If the sides of a triangle are $7\;{\rm{cm}},\,\,4\,\sqrt 3 {\rm{\;cm}}$ and $\sqrt {13} \,\,\;{\rm{cm}}$, then the smallest angle of the triangle is

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

If the sides of a triangle are

7\;\mathrm{cm},\,\,4\,\sqrt 3 \mathrm{\;cm}

and

\sqrt {13} \,\,\;\mathrm{cm}

, then the smallest angle of the triangle is

View answer and explanation

Correct option: C

30^\circ

Option C (

30^\circ

) is correct because it is the smallest angle calculated using the Law of Cosines with the given side lengths.

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{p_1},{p_2},{p_3}

\Delta \;ABC

A,B,C

\Delta

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5k,\;6k,\;5k

k

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a = \left( {b - c} \right)\sec \theta

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\Delta = {a^2} - {\left( {b - c} \right)^2}

\Delta

\Delta \;ABC

\tan A

A

2 s