Some question and their alternative answer are given. Select the correct alternative. In ∆ABC, AB = 6$\sqrt$(3) cm, AC = 12 cm, BC = 6 cm. Find measure of $\angle$A.

Question

KollegeApply · Accepted Answer

In ∆ABC, AB = 6$\sqrt$(3) cm, AC = 12 cm, BC = 6 cm. AB2 = (6sqrt(3))2 = 108 AC2 = (12)2 = 144 BC2 = (6)2 = 36 108 + 36 = 144 In a triangle, if the square of one side is equal to the sum of the squares of the remaining two sides, then the triangle is a right angled triangle. In a right angled triangle, if one side is half of the hypotenuse then the angle opposite to that side is $30^\circ$. Here, BC is half of AC. Thus, measure of $\angle$A is $30^\circ$ Hence, the correct option is $30^\circ$

AChoose Your Answer