Find the diagonal of the box, AD, using the Pythagorean Theorem twice - 1. To find BD, and 2. To find AD.

AB = 12 in
BC = 18 in
CD = 4 in

Show all steps for finding the diagonal of the box above using the formula instead of the Pythagorean Theorem twice.

7 answers

Formula: c^2 = a^2 + b^2

Step 1: Find BD

c^2 = 12^2 + 18^2
c^2 = 144 + 324
c^2 = 468
c = 21.6 in

Step 2: Find AD

c^2 = 21.6^2 + 4^2
c^2 = 468.16 + 16
c^2 = 484.16
c = 22 in

Therefore, the diagonal of the box, AD, is 22 in.
Thank you so much!
Wait never mind that is not the answer :(
It wasn't even an answer choice
Assuming that the sides of the box are 12, 18, and 4
(no idea where A, B, etc are located)

diagonal^2 = 12^2 + 18^2 + 4^2
= 144 + 324 + 16
= 484
diagonal = √484 = 22

final answer!
Thank you so much! I will try it out
Also the first answer was correct the second one to my bad
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