11 of 13Nen >An artisan makes pendants in the shape of equilateraltriangles. The height of each pendant is 18mm. What isthe length s of each side of a pendant to the nearesttenth of a millimeter?SubmitS18 mmUSa.

Answer:
s = 36 / √3
Explanation:
The interior angles of an equilateral triangle are 60 degrees, so the triangles formed are:
Now, by the 30-60-90 triangle theorem, we get that the hypotenuse is equal to:
hypotenuse = 2 x Short leg
Short Leg = Long Leg / √3
So, the short leg is equal to:
Short Leg = 18 / √3
Finally, the hypotenuse is equal to:
Hypotenuse = 2 x 18 / √3
Hypotenuse = 36 / √3
Therefore, the length s of each side is: 36 / √3