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

Correct option is B

Given:
The base of a right pyramid is a square.
Diagonal of the base = 16 unit.

slant edge =17

Formula Used:

a ,b and c are sides of right angle triangle where c is opposite to right angel.

a² +b²= c²​

Concept Used:
The point where the diagonals of square intersect each other is the midpoint of both the diagonals, effectively bisecting each other.

Solution:

In right angle triangle 

perpendicular = vertical height 

Hypotenuse= slant edge =17

base = half of diagonal 

So, according to right angle triangle

17^2​ =8² +( vertical height )²​

289-64 =( vertical height )²​

vertical height = 15