Question

In a triangle, the average of any two sides is 6 cm more than half of the third side, then find
the area of the triangle (in sq. cm)​

Answer 1

let a,b,c are 3 Sides

so , a+b-c=6

a+c-b=6

b+c-a= 6

add all three questions

a+b+c= 18.

a+b = b+6 (given

so , 2c= 12

c= 6

and So , a&b = 6

hence ,it is an equilateral triangle

so, area = √3/4×6²

= 9√3 ans.