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The base of a pyramid is a square of side 8cm. If its vertex...

The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 43cm

A.

6cm

B.

5cm

C.

4cm

D.

3cm

Correct answer is C

Base of pyramid of a square of side 8cm vertex directly above the centre edge = 43cm

From the diagram, the diagonal of one base is AC2 = 82 + 82

Ac2 = 64 + 64 = 128

AC = 82

but OC = 12AC = 822 = 42cm

OE = h = height

h2 = (43)2

16 x 2 - 16 x 2

48 - 32 = 16

h = 16

= 4