In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Guest Mar 9, 2021

#1**+1 **

We know that in a 30-60-90 triangle, the length of the hypotenuse is 2x where the length of the side opposite of the 30 degree angle is x, and the length of the side opposite of the 60 degree angle is x*sqrt(3).

Knowing this, x in our case would be 6, so the side opposite of the 60 degree angle would be **6√3 **inches, or 10.39230484...

Hope this helped!

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Caffeine Mar 9, 2021