Question

http://secure.starssuite.com/files/geo2010/Geom_16S_Fig21.jpg
Is the slant height of this 4 ...

Answer 1

use pythagorean theorem, notice the shaded triangle is a right triangle
and the so-called slant-height, is really the "nose of the triangular face" of the pyramid

Answer 2

so am i correct ?

Answer 3

well, is not 4, if the opposite side of it is 3, the hypotenuse will be slightly more than 3, less than 4

Answer 4

\(\bf c^2 = a^2+b^2 \implies c = \sqrt{ a^2+b^2} \implies c = \sqrt{3^2+2^2}\)

Answer 5

hmm .. then how will i be able to find the lateral area of the square pyramid without the slant height

Answer 6

well, the slant height, will be the hypotenuse of that shaded triangle

Answer 7

notice, the bottom is 2, the height is 3

Answer 8

oh i see so i need to find the hypotenuse first

Answer 9

yes

Answer 10

the so-called slant height

Answer 11

Answer is 13