If in a triangle, the angles are in A.P. and $b : c = \sqrt{3} : \sqrt{2}$ then $A$ is equal to __________. (a) $30^\circ$ (b) $60^\circ$ (c) $75^\circ$ (d) $45^\circ$

If in a triangle, the angles are in A.P. and b : c = √(3) : √(2) then A is equal to _____. (a) 30^° (b) 60^° (

Miscellaneous Exercise 3 · Q75

b : c = \sqrt{3} : \sqrt{2}

(a)

30^\circ

(b)

60^\circ

(c)

75^\circ

(d)

45^\circ

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★

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Angles in A.P. means $2B=A+C$ , and since $A+B+C=180^\circ$ , $3B=180^\circ\implies B=60^\circ$ . By the Sine Rule, $\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\implies\dfrac{\sqrt3}{\sin60^\circ}=\dfrac{\sqrt2}{\sin C}\implies\sin C=\dfrac{\sqrt2\sin60^\circ}{\sqrt3}=\dfrac{\sqrt2\cdot\sqrt3/2}{\sqrt3}= …

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Q.If in a triangle, the angles are in A.P. and $b : c = \sqrt{3} : \sqrt{2}$ then $A$ is equal to __________.

Concept understanding — Solving a Triangle - Sine Rule

Q.If in a triangle, the angles are in A.P. and b:c=3:2b : c = \sqrt{3} : \sqrt{2}b:c=3​:2​ then AAA is equal to __________.

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Q.If in a triangle, the angles are in A.P. and $b : c = \sqrt{3} : \sqrt{2}$ then $A$ is equal to __________.

Unlock everything free for 14 days