Question

Find the slant height of the cone.

Answer 1

Answer: first option

Step-by-step explanation:

You must apply the Pythagorean theorem:

$s=\sqrt{b^{2}+c^{2}}$

Where s is the hypotenuse or, in this case the slant height, and b and c are the other legs.

Therefore you can see in the figure that:

b=5m and c=12m

Then the slant height of the cone is the shown below:

$s=\sqrt{(5m)^{2}+(12m)^{2}}=13m$

Answer 2

Answer:

The slant height is $13m$

Step-by-step explanation:

The slant height of the cone, $l$ , can be found using Pythagoras Theorem.

$l^2=12^2+(\frac{10}{2})^2$

$l^2=12^2+(5)^2$

$l^2=144+25$

$l^2=169$

$l=\sqrt{169}$

$l=13m$