Q: In AB^Δ C : ( AB=AC=b ) and ( BC=a ). If , cos (A )= (a^2 /b^2 ) , then find the value of : (√((b/a) )) =?


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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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