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In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 17 less than 5 times the size of angle A

Guest Oct 8, 2018
 #1
avatar+3423 
+2

We have: \(b=4a, c=5a-17, a=a\).

 

Since the interior angles in a triangle sum to \(180^\circ\), we have \(4a+5a-17+a=180, 10a-17=180, 10a=197, a=19.7, b=19.7*4=78.8\) and \(c=81.5\)

tertre  Oct 8, 2018
 #2
avatar+92463 
+1

Nice,  tertre  !!!

 

cool cool cool

CPhill  Oct 8, 2018
 #3
avatar+3423 
+1

Thank you, CPhill!

tertre  Oct 8, 2018

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