For a right circular cone, the length of the radius of the base is r, the length of the slant heightis l, and the length of the altitude is h. Given the lengths for r and h, explain why the lengthof the slant height is given by 
. (no drawing provided)
What will be an ideal response?
The radius, slant height from the vertex of the cone to the endpoint of the radius, and the altitude form a right triangle with l for the length of the hypotenuse. Then, 
.
.By the Square Roots Property, 
.
Mathematics
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