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the acute angles of the triangle is in ratio 1 : 2 find the angles of the triangle

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The acute angles of a right triangle are in the ratio of 2:1 . Find each of

The acute angles of a right triangle are in the ratio of 2:1 . Find each of these angles

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asked Dec 11, 2017 by ktanishq18



1 Answer

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Since it's a right angled triangle then one of the angles must be 90° (ninety degrees). The sum of the angles in a triangle is 180° (one hundred and eighty degrees) and the sum of the remaining (acute) angles in this triangle is 180° - 90° = 90°.  
Let the first one be equal to 2x and the second one be x. The sum of 2x and x is 90°.  
2x + x = 90°  
(2 + 1)x = 90°  
3x = 90°  
x = 90°/3

x=30 
  

The first angle is 90°.  
The second one is 2x or 2 x 18° ==> 36°.  
The third one is x or   30°. 


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