let's recall that the sum of all interior angles in a triangle is 180°.
an equi-lateral, equal sides, triangle has all sides that are equal.
sides that are equal will yield an equal opposite angle.
so if all sides are equal, all angles are equal, for a sum of 180°, that's only possible with 60°, 60° and 60° angles, and all of them are acute, none obtuse.
3x/(x+1) + (x+1)/(2x) + (5/x)
To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1)
The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)