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

diagonal of right pyramid = 16

half of diagonal = 8

slant edge = 17

Vertical height = √17^2 - 8^2

= √289 -64

= √225

= 15

Answer 2

The vertical height is 15 unit.

Step-by-step explanation:

Consider the provided information.

It is given that the diagonal is 16 unit and slant edge is 17 unit.

We can find the vertical height by using Pythagorean theorem.

The vertical height divides the diagonal into two equal part.

Therefore,

$(\text{Half of diagonal})^2+(\text{Vertical height})^2=(\text{Slant edge})^2$

$(8)^2+(\text{Vertical height})^2=(17)^2$

$64+(\text{Vertical height})^2=289$

$(\text{Vertical height})^2=225$

$\text{Vertical height}=15$

Hence, the vertical height is 15 unit.

#Learn more

A wire is in the shape of a regular hexagon encloses an area of 726root3 cm2. if the same wire is bent into form a circle. find the area of the circle

brainly.in/question/8793523