Q1 of 45 Page 43

Some questions and their alternative answers are given. Select the correct alternative.

In D ABC, AB = cm, AC = 12 cm, BC = 6 cm. Find measure of .


As,


(6√3)2 + 62 = 122


⇒ AB2 + BC2 = AC2


i.e. sides of the triangle ABC satisfy the Pythagoras theorem


(Hypotenuse)2 = (base)2 + (Perpendicular)2


∴ ABC is a right-angled triangle with hypotenuse as AC


Now,



By converse of 30°-60°-90° triangle theorem i.e.


In a right-angled triangle, if one side is half of the hypotenuse then the angle


opposite to that side is 30°.


∠A = 30°

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