Question 388987
Whoops, originally thought the sides were 1:2:3, not the angles.


If the angles are in the ratio 1:2:3, the triangle is a 30-60-90 triangle (by using x + 2x + 3x = 180 --> x = 30). The shortest side has length {{{5sqrt(3)}}} so the next larger side is the shortest side times {{{sqrt(3)}}} (since the next larger side cannot be the hypotenuse). So the next larger side is 15.