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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.

 Jun 20, 2018
 #1
avatar+17338 
+2

sin 60 = AB/4         (sin = opposite/hypotenuse)

sqrt3 / 2 = AB/4

4 sqrt3 / 2 = AB

AB= 2 sqrt(3)

 Jun 20, 2018
edited by ElectricPavlov  Jun 20, 2018
 #2
avatar+48 
+1

or even easier, you could just use the pythagorean theorem: AB=sqrt(4^2-2^2)=sqrt12=2sqrt3

 Jun 20, 2018

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