A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid is What is the height of the​ pyramid?

9.48

Step-by-step explanation:

Complete question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = h²+8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

Note that the value of the slant height was assumed to solve the problem.

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