Answer:
The first option.
Step-by-step explanation:
"The discriminant is prime?" I haven't heard that one before.
Here are the general rules:
1. a positive discriminant results in two real, unequal roots.
2. a zero discr. results in two real, equal roots.
3. a negative discr. results in two complex roots, which sometimes means two imaginary roots.
Let us draw a picture to make the things more clear.
Attached is the image.
We have been given that
Therefore, we have
Now, in triangle bcd, we have
Now, in triangle acb, we have
Thus, ad is 15 cm.
<span>Draw a regular hexagon. Connect the center to each of the six vertices. Thus, you have six triangles, each with base 10.. The apothem is the height of each triangle. Then the area of each triangle is (1/2)(10)(12) = 60. You have six triangles so the aarea of the hexagon is 6*60 = 360.</span>