Answer:
13
Step-by-step explanation:
The slant height of the cone is the hypotenuse of the right triangle inside of the cone. We know the height of the triangle is 12, and the base measures half of the 10 we see, so the base is 5. We can use Pythagorean's Theorem to find the hypotenuse:
[tex]c^2=12^2+5^2[/tex] so
[tex]c^2=144+25[/tex] so
[tex]c^2=169[/tex] and
c = 13
