Question

A square pyramid with a = 20 mm and b = 96 mm is shown. What is the length of side c? *Hint: you must divide the "b" by two to find the base of the right triangle

Answer 1

Answer: Length of side c = 52 mm

Explanation:

Given the following ;

a = 20mm

b = 96mm

Find c

Using Pythagoras theorem, where 'c' is the slant height that is, the side of the triangle opposite to the right angle

'c' is the hypotenus

c^2 = a^2 + b^2

b is the base of the right angle

b = 96/2 = 48mm

c^2 = 20^2 + 48^2

c^2 = 400 + 2304

c^2 = 2704

c = sqrt(2704)

c = 52mm

Length of side c = 52mm

Answer 2

52mm

Explanation:

From the attached diagram

b1=b/2=96/2=48mm

a=20mm

From Pythagoras theorem c^2= 48^2+20^2=2704

C=√2704=52mm