Question 787187
Hi Shanell,
If you make one of the sides of your
triangle = x. 
And the other 2x (Twice the length)
Area of a triangle = 1/2(base * height)
48 = 1/2 (x * 2x)
48 = x^2
x = {{{sqrt(48)}}}
So, one side of your triangle
would equal = {{{sqrt(48)}}}
And the other side = 2 * {{{sqrt(48)}}}
= {{{sqrt(192)}}}
As you said Pythagoras =
a^2 + b^2 = c^2
Squaring a square root leaves the number
So, 48 + 192 = c^2
c^2 = {{{sqrt(240)}}}
c = 4 square root 15.
Hope this helps.
:-)