Question

In a right angled triangle ABC angle
B = 90 IF BC /AB =1/root3 Find AB/AC

Answer 1

please check attachment

Answer 2

Given, $\dfrac{BC}{AB}=\dfrac{1}{\sqrt{3}}$



From trigonometry, we know that they ratio of base to height ( perpendicular ) of a particular angle { A } is known as cotA.




In the question, ratio of base to height is 1 / √3



cot∅ = 1 / √3

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From trigonometric table, 1 / √3 = cot 60°
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cot∅ = tan60°

∅ = 60°




Ratio of height to hypotenuse ( AB : AC ) of a particular angle { A } is known as sinA



AB / AC = sin60°

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From trigonometric table,

sin 60° = √3 / 2
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AB / AC = √3 / 2