Question

in ∆ABC,AB=6√3cm, AC=12, BC= 6, find the measure of A​

Answer 1

Answer:

Angle A = 45°

Explanation:

Here,

=> 6√3 = √(12² - 6²)

=> (6√3)² = 12² - 6²

.·. AB² = AC² - BC²

=> AC² = AB² + BC²

Using Pythagoras theorem, AC is the hypotenuse. And thus, angle B = 90°.

Hence, angle A and C both measure 45° [·.· sum of all angles of triangles is equal to 180°.