Q-In-AB-C-AB-AC-b-and-BC-a-If-cos-A-a-2-b-2-then-find-the-value-of-b-a-

Question Number 203704 by mnjuly1970 last updated on 26/Jan/24

Q : I n A \overset{Δ}{B C} : (A B = A C = b) a n d (B C = a) .

I f, c o s (A) = \frac{a^{2}}{b^{2}}, t h e n f i n d t h e v a l u e o f :

\sqrt{\frac{b}{a}} = ?

Answered by esmaeil last updated on 26/Jan/24

{B C}^{2} = {A B}^{2} + {A C}^{2} - 2 A B \times A C c o s A \to

a^{2} = b^{2} + b^{2} - 2 b^{2} c o s A \to

3 a^{2} = 2 b^{2} \to \sqrt{\frac{b}{a}} = \sqrt[4]{\frac{3}{2}}

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