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In right triangle ABC, the length of side  BC is 2 units, the length of side AC is 4 units and the measure of angle C is 60 degrees. What is the length of side AB , in units? Express your answer in simplest radical form

Guest Nov 20, 2018

Best Answer 

 #1
avatar+3462 
+2

Yay, 30-60-90 triangles!

We can label the figure, by creating the four opposite from 90 degrees and the two across from the 30 degrees. We have to solve for side length AB, which is across from angle 60. Using our knowledge on the triangle, opposite to 60 is \(x\sqrt{3}\) . Thus, the answer is \(2\sqrt{3}\) .

tertre  Nov 20, 2018
 #1
avatar+3462 
+2
Best Answer

Yay, 30-60-90 triangles!

We can label the figure, by creating the four opposite from 90 degrees and the two across from the 30 degrees. We have to solve for side length AB, which is across from angle 60. Using our knowledge on the triangle, opposite to 60 is \(x\sqrt{3}\) . Thus, the answer is \(2\sqrt{3}\) .

tertre  Nov 20, 2018
 #2
avatar+92808 
+1

Nice, tertre.....!!!!

 

 

 

cool cool cool

CPhill  Nov 20, 2018
 #3
avatar+3462 
+1

Thank you, CPhill!

smileysmiley

tertre  Nov 20, 2018

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