Question

In ∆ ABC, AB=6√3 cm, AC = 12 cm and BC =6 cm then measure of angle BAC is​

Answer 1

Answer:

angleBAC = 30°

Step-by-step explanation:

In AABC, AB = 6√3 cm, AC = 12 cm, BC = 6 cm.

AB²= (6√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°. Here, BC is half of AC.

Thus, measure of angleA is 30°