Question

The base of a right pyramid is a square with diagonal 16 units. Its slant edge is 17 units. What is its vertical height?

Answer 1

Answer:

18.78 Units

Step-by-step explanation:

Given,

Base of pyramid is a square with diagonal = 16 units

Slanting Edge = 17 Units,

As base is a square, both diagonals are equal and all four slanting edges are also equal i.e. 17 Units

Now, as we know that perpendicular from top of pyramid will divide the diagonals in equal lengths i.e. 16/2= 8 units

As we can see that, slanting edge and mid point of bottom diagonal is making a right angled triangle with perpendicular H

Therefore, H²= 8²+17²

H²= 64+289

H²= 353

H= √353

H= 18.78 Units

Hence, Height of pyramid is 18.78 units.