In a triangle ABC- B- 30 o -c-150-b-50- 3 - a 1 - a 2 are two values of the third side a- Find a 1 - a 2 where a 1 - a 2

Cos B = a^2+C^2 b^22ac cos 30^∘ = a^2(150)^2 (50√(3))^22 × a × 150 √(3)20 = a^2+ 22500 7500300 a √(3)2× 300 a = a^2+15000 a^2 150√(3)a+ ...

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Applications of Dot Product

In a triangle...

Question

In a triangle ABC, $B = 30^{o}, c = 150, b = 50 \sqrt{3}, a_{1}, a_{2}$ are two values of the third side a. Find $(\frac{a_{1}}{a_{2}})$ where $a_{1} < a_{2}$

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