Posted by **Gina** on Tuesday, October 24, 2006 at 5:14pm.

determine the area of triangle abc when side ab= square root of x, side bc= square root of x, and side ca= the square root of the square root of x.

So how do I solve it. How do I add the square root of x + the square root of x + the square root of the square root of x?

what is the area actually. How would I solve for that?

1.)4(z-2)+z= -13

area in terms of the three sides of the triangle, specifically, as the square root of the product s(s – a)(s – b)(s – c) where s is the semiperimeter of the triangle, that is, s = (a + b + c)/2.

s= (3/2 sqrt x)

area = sqrt [s(s – a)(s – b)(s – c) ]

= sqrt [ (3/2 sqrt x) ( (3/2 sqrt x) – sqrtx)( (3/2 sqrt x) – sqrtx)( (3/2 sqrt x) – (3/2 sqrt x) ) ]

= sqrt ((3/2 sqrt x) (1/2 sqrt x)^3 )

= sqrt ( 3/2 * 1/8)(sqrt x)^4

= 1 x sqrt (3/16)= x/4 * sqrt 3

check that. lots of square roots to mess up.