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? 


So I got 36 because if 1x=12 then 3x=36 but its not right so   I'm really confused

Guest Nov 19, 2018

If the smallest angle is x, then we have x + 2x + 3x = 180º, So x = 30º.


This means the triangle is a 30/60/90 degree right angled triangle. The sides of this are in the ratio 1:root(3):2.  That is, the hypotenuse (the longest side) is twice as long as the shortest side.

Alan  Nov 19, 2018

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