Question

Find the slant height of the cone.

Answer 1

Answer: first option

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

The slant height is
`13m`

Explanation:

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

`l^2=12^2+((10)/(2))^2`

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

`l^2=144+25`

`l^2=169`

`l=√(169)`

`l=13m`