Answer:
The correct option is: B. 5.2 mm
Step-by-step explanation:
According to the below diagram, altitude of the pyramid, [tex]AO= 5\ mm[/tex]
[tex]BC= 3\ mm[/tex]
Here, [tex]OD= \frac{1}{2}BC=\frac{1}{2}(3)\ mm= 1.5\ mm[/tex]
Slant height of the pyramid is [tex]AD.[/tex]
As [tex]\triangle AOD[/tex] is a right triangle, so using Pythagorean theorem, we will get......
[tex](AD)^2=(AO)^2+(OD)^2\\ \\ (AD)^2=(5)^2+(1.5)^2\\ \\ (AD)^2=25+2.25\\ \\ (AD)^2=27.25\\ \\ AD=\sqrt{27.25}=5.220... \approx 5.2\ (rounded\ to\ the\ nearest\ tenth)[/tex]
So, the slant height of the pyramid is 5.2 mm.
