Answer:
If this is a normal triangle, it is impossible to solve for unique x.
However, if this is a right triangle with hypotenuse = 40 ft as shown in picture, then, by applying Pythagorean theorem, we have:
(3x)^2 + (6x)^2 = 40^2
<=> 9x^2 + 36x^2 =40^2
<=> 45x^2 =40^2
<=> x^2 = (40/45)^2
<=> x = 40/45
And the two side lengths would be :
6 x 40/45 = 6 x 8/9 = 48/9 = 16/3 = 5.3 ft
3 x 40/45 = 3 x 8/9 = 24/9 = 8/3 = 2.7 ft
Hope this helps!
:)
