Question

Use the image to answer the question.



Find the slant height of the square pyramid. Round to the nearest whole inch, if necessary. Show your work.

(1 point)
Responses

15 in.
15 in.

8 in.
8 in.

13 in.
13 in.

6 in.

Answer 1

Let the base side = 10 in (so half the base = 5 in) and the pyramid height = 12 in (from the picture). The slant height l is the hypotenuse of the right triangle with legs 12 and 5:

l = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13 in.

Answer: 13 in.