Question

In ∆ABC ,AB =6√3 cm, AC =12 cm ,BC = 6 cm. Find the measure of ∠A *​

Answer 1

Solution:-

In ABC, AB = 6v3 cm, AC = 12 cm, BC = =

= 6 cm.

AB^2= (6√3)^2= 108

AC^2 = (12)^2 = 144 =

BC^2 = (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 angle A is 30°

Hope it helps you ❤️

Answer 2

Answer:

144

Step-by-step explanation:

Solution:-

In ABC, AB = 6v3 cm, AC = 12 cm, BC = =

= 6 cm.

AB^2= (6√3)^2= 108

AC^2 = (12)^2 = 144 =

BC^2 = (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 angle A is 30°

Hope it helps you ❤️