The length of the hypotenuse of a 30°-60°-90° triangle is 12. Find the perimeter.

Question

mertsj · Answer

|dw:1330459695701:dw|

kinggeorge · Answer

Since it's a 30-60-90 triangle, you know the sides are proportional to 1, 2, and $\sqrt3$. Where 2 is the length of the hypotenuse. So if you apply the same ratios, you find the perimeter should be $6+12+\sqrt{18}$

kinggeorge · Answer

Excuse me, it shouldn't be $\sqrt{18}$ it should be $\sqrt{108} = 6\sqrt{3}$

mertsj · Answer

In a 30-60-90- triangle, the short leg is 1/2 the hypotenuse and the long leg is the short leg multiplied by sqrt3

anonymous · Answer

Can I good answer more than 1 person?

kinggeorge · Answer

You can good answer as many people as you like.

anonymous · Answer

Ok Thank you guys.