Question

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

A.5.8 mm

B.5.2 mm

C.6.5 mm

D.3.7 mm

Answer 1

C.6.5 mm, is best answer....

Answer 2

The correct option is: B. 5.2 mm

Explanation:

According to the below diagram, altitude of the pyramid,
`AO= 5\ mm`

`BC= 3\ mm`

Here,
`OD= (1)/(2)BC=(1)/(2)(3)\ mm= 1.5\ mm`

Slant height of the pyramid is
`AD.`

As
`\triangle AOD` is a right triangle, so using Pythagorean theorem, we will get......

`(AD)^2=(AO)^2+(OD)^2\\ \\ (AD)^2=(5)^2+(1.5)^2\\ \\ (AD)^2=25+2.25\\ \\ (AD)^2=27.25\\ \\ AD=√(27.25)=5.220... \approx 5.2\ (rounded\ to\ the\ nearest\ tenth)`

So, the slant height of the pyramid is 5.2 mm.