Question

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 1

s = 36 / √3

Step-by-step 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