Answer: A
Step-by-step explanation:
First, you need to find the length of diagonal of the bottom base
length of bottom diagonal
use Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
a = 4
b = 2
[tex]4^{2} +2^{2} =c^{2}[/tex]
[tex]20 =c^{2}[/tex]
we will leave [tex]c^{2}[/tex] like this for the next part
length of LM
use the Pythagorean theorem again
this time, [tex]c^{2}[/tex] is one of the legs
[tex]c^{2} +d^{2} =LM^{2}[/tex]
[tex]c^{2} = 20[/tex]
[tex]d^{2} = 2^{2} = 4[/tex]
[tex]LM^{2} = 20 + 4 = 24[/tex]
[tex]LM = \sqrt{24}[/tex]
answer choice A
