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A right triangle has acute angles whose measures are in the ratio 1:3

Find the measure of these acute angles.

 May 9, 2015

Best Answer 

 #1
avatar+98091 
+5

Well..... they sum to 90 degrees

 

And...if they're in the ratio of 3 : 1, there must be 4 parts to this 90 degrees......so....each part is 90/4 = 22.5 degrees

 

So  3 x 22.5 = 67.5 degrees   and that's the larger angle

 

And the other is just 1 x 22.5  =  22.5  degrees

 

  

 May 9, 2015
 #1
avatar+98091 
+5
Best Answer

Well..... they sum to 90 degrees

 

And...if they're in the ratio of 3 : 1, there must be 4 parts to this 90 degrees......so....each part is 90/4 = 22.5 degrees

 

So  3 x 22.5 = 67.5 degrees   and that's the larger angle

 

And the other is just 1 x 22.5  =  22.5  degrees

 

  

CPhill May 9, 2015

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