SOLUTION: The measures of the angles of a triangle are in the ratio 1:2:3. The length is the longest side is 12. What is the length of the shorter side?

Algebra ->  Triangles -> SOLUTION: The measures of the angles of a triangle are in the ratio 1:2:3. The length is the longest side is 12. What is the length of the shorter side?      Log On


   



Question 870825: The measures of the angles of a triangle are in the ratio 1:2:3. The length is the longest side is 12. What is the length of the shorter side?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x + 2x + 3x = 180
6x = 180
x = 30
30-60-90 right triangle
sides in ratio 1:2:√3
Shortest side is 6