Question

What is the slant height of the pyramid to the nearest tenth?

A.) 13.9 mm

B.) 15.5 mm

C.) 12.5 mm

D.) 19.0 mm

Answer 1

check the picture below.

Answer 2

(C) 12.5mm

Explanation:

It is given that a pyramid having slant height AC is to be determined. From the given information, we get

AB=12mm, BC=3.5mm and we have to find out the value of AC.

Thus, using the Pythagoras theorem, we have

`(AC)^2=(AB)^2+(BC)^2`

Substituting the given values, we have

`(AC)^2=(12)^2+(3.5)^2`

`(AC)^2=144+12.25`

`(AC)^2=156.25`

`AC={√(156.25)}`

`AC=12.5mm`

Therefore, the value of the slant height is 12.5mm.

Hence, option C is correct.