Question

What is the length of stack EC with bar on top in the rectangular prism? Round to the nearest tenth of a centimeter.
A.7.5 cm
B.9.4 cm
C.12.6 cm
D.15.3 cm
http://static.k12.com/calms_media/media/1579000_1579500/1579368/1/d5792698202fbbf409095d22a45a964cdf2a7154/MS_IMC-150126-130907.jpg

Answer 1

Will fan and medal!

Answer 2

@Preetha

Answer 3

@Michele_Laino

Answer 4

@confluxepic

Answer 5

Anybody??

Answer 6

the aswer is 15.3 i am 100 percent sure

Answer 7

Thank you but can you explain so next time I have a question like this I can do it on my own @sarimari

Answer 8

okay i will try cause i am not very good at explaning math bu here it goes

Answer 9

hint:
you have to apply the Theorem of Pitagora twice.
From your picture, we have:
\[E{C^2} = E{G^2} + G{C^2}\]
or:
\[EC = \sqrt {E{G^2} + G{C^2}} \]

Answer 10

nevertheless we aren't able to compute EC, since we don't know what is EG. So we apply again the Theorem of Pitagora, and we can write:
\[\Large E{G^2} = E{F^2} + F{G^2} = {8^2} + {5^2} = 64 + 25 = ...?\]

Answer 11

so what is EG^2=...?

Answer 12

89/

Answer 13

ok! Now we have to substitute that value into our first formula, so we get:
\[\Large EC = \sqrt {E{G^2} + G{C^2}} = \sqrt {89 + {{12}^2}} = \sqrt {89 + 144} = ...?\]

Answer 14

15.2

Answer 15

better is 15.3, since we got 15.26...

Answer 16

oh

Answer 17

Thank you for explaining!

Answer 18

Thank you! @VCabral1134 @sarimari

Answer 19

np anytime