The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?

Guest Apr 20, 2019

#1**+2 **

The smallest angle = (1) / ( 1 + 2 + 3) * 180 = (1/6) * 180 = 30°

The next largest angle must twice the smallest = 60°

And the greatest must be three times the smallest = 90°

We have a 30 - 60 - 90 right triangle

The side opposite the 90° angle is the greatest side and is always twice as long as the shortest side...so.......24 m

CPhill Apr 20, 2019