The "longer" leg of a 30-60-90 triangle is 6. what is the length of the hypotenuse?

A 30-60-90 triangle is half an equlateral triangle (refer to the image below).

If we call the length of the side , we can see that it is exactly half of the side of the equilateral triangle. So, we have

Moreover, we can find the height using the pythagorean theorem, having

.

Now, you know the longer leg to be 6. The longer leg is the height, so you have

So, the hypotenuse is twice that value:

step-by-step explanation:

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step-by-step explanation: