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Find out the number of triangles that can be constructed if b=2, c=2, and B=\frac{\pi}{6}

Option: 1 0

Option: 2 12

Option: 3 2

Option: 4 3

Answers (1)

best_answer

 

 

Basic relation b/w sides and angle of triangle and Sine Rule -

Basic relation b/w sides and angle of triangle and Sine Rule

In this section, Properties and solution of Triangle. We will be using some standard symbols.

 In ΔABC, the angles are denoted by capital letters A, B and C and the length of the sides opposite to these angles are denoted by small letters a, b and c respectively.

 

\mathrm{\begin{array}{l}{ \angle B A C=A} \\ { \angle A B C=B} \\ { \angle B C A=C}\end{array}}

 

Sides of the ΔABC

AB = c, AC = b, and  BC = a

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

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\frac{b}{\sin B}=\frac{c}{\sin C}\\ \frac{2}{\sin \frac{\pi}{6}}=\frac{2}{\sin C}\\ \sin C= \frac{1}{2}\\ C={\frac{\pi}{6},\frac{5\pi}{6}}

Two tringle can be constructed.

Posted by

Rishabh

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