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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?

 Apr 20, 2019
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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

 

cool cool cool

 Apr 20, 2019

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