Answers

2014-09-18T15:40:05+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
so length of each side of square base is 32/4 = 8 cm
slant height=5 cm
so h² = (slant h)² - (base/2)² = 5² - (8/2)².
so h
² = 9
h = +3 and h= -3
but distance cannot be negative so take the positive one 
so h = 3 cm 


0
2014-09-18T21:27:59+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
See diagram for understanding structure of a pyramid.

perimeter of base = 32 cm
The side of square at the base = 32/4 = 8 cm = 2a in the diagram

Slant height  L is the distance between middle of a side at the base and the top of the pyramid.  L = 5 cm  = AB
 
Vertical Height of pyramid = h    it is the distance between center O of base square and top of pyramid A.

Half of a side of base square = 8/2 = 4 cm = a  = OB = OC

Applying Pythagoras theorem :  h² + a² = L²

h² = 5² - 4² = 9

h = Vertical Height of the Pyramid = 3 cm


0
i hope it is easy to understand.
This indicates that slant height from one corner of the square base to the vertex of the pyramid is greater than slant height taken from middle of the side of the square base. If it so, the point from slant height is taken should be specified. Will you please clear this doubt ? i am simply curious.