Question

In triangle ABC, angle c=90.if sides are in ratio of 1:√3:2.Find the other angles.

Answer 1

In triangle ABC,
it is given that
                                 Angle C = 90 
also it is given that 
Sides are in ratio 1:root 3:2
 
As it is a right angle triangle,
So the triangle must rove the pythagras theorem

So Sides can be x, root3 x, and 2x
Thus,  
                                  x^2 + root 3x^2 = 2x^2
                                    x^2 + 3x^2 = 4x^2
                                     
So, the sides can now be
                        AC = 1
                        CB = root 3
                        AB = 2

Now in triangle ABC

Angle ABC = tan B = AC / BC = 1/root3
Thus Angle B = 30 degree

Angle A + Angle B + Angle C = 180 degree
Angle A + 90 + 30 = 180
angle A = 60 degree