The area (in square units) of A B C if A=75^ , B=45^ and a=2( 3 +1) is

Step-by-step solution

Given, A=75^ , B=45^ and a=2( 3 +1) In A O C, 60^ = x y 3 = x y x= 3 y Now, x+y=2( 3 +1) aligned & 3 y+y=2( 3 +1) & y( 3 +1)=2( 3 +1) & y=2 x=2 3 & aligned Now, area of A B C= area of A O B+ area of A O C aligned & = 1 2 x x+ 1 2 x y= 1 2 x[x+y] & = 1 2 2 3 2( 3 +1) & =2 3 ( 3 +1) & =6+2 3 sq units aligned