Please help me!!!!!
I WILL FAN AND MEDAL!!!
What is the length of stack A G with bar on top in the rectangular prism? Round your answer to the nearest tenth.
A.
12.6 cm
B.
13.0 cm
C.
13.6 cm
D.
14.2 cm
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OpenStudy (anonymous):
I am trying to put on the picture.
Vocaloid (vocaloid):
first, find DG using the Pythagorean theorem
then, find AG using the Pythagorean theorem again
OpenStudy (anonymous):
How do I do that??
Vocaloid (vocaloid):
a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse
look at the bottom of the shape: there's a right triangle with legs 5 and 12, so what is the length of the hypotenuse, DG?
Vocaloid (vocaloid):
|dw:1434652353278:dw|
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OpenStudy (anonymous):
so multiply?
Vocaloid (vocaloid):
legs = a and b = 5 and 12
a^2 + b^2 = c^2
what is a^2 + b^2?
OpenStudy (anonymous):
so 5x5 +12x12 right??
Vocaloid (vocaloid):
yes
OpenStudy (anonymous):
169
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Vocaloid (vocaloid):
right, so a^2 + b^2 = c^2 = 169, so what is c?
OpenStudy (anonymous):
169
Vocaloid (vocaloid):
nope, please try again
c^2 = 169
what is c?
OpenStudy (anonymous):
sorry someone was at my door.
OpenStudy (anonymous):
@Vocaloid are you there. I am still not seeing it.
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Vocaloid (vocaloid):
if c squared is 169, then what is c?
Vocaloid (vocaloid):
hint: sqrt(c^2) = c
Vocaloid (vocaloid):
the square root of c^2 is c, so if c^2 = 169, what is c?
OpenStudy (anonymous):
hold on.
OpenStudy (anonymous):
13?
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Vocaloid (vocaloid):
yes, we just found DG, which is 13. we can use the pythagorean theorem again to solve for AG
OpenStudy (anonymous):
ok so do the same thing?
Vocaloid (vocaloid):
|dw:1434652931660:dw|
Vocaloid (vocaloid):
|dw:1434652984512:dw|
OpenStudy (anonymous):
so I got 185 first right?
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Vocaloid (vocaloid):
yes, so what's next?
OpenStudy (anonymous):
find the square root?
Vocaloid (vocaloid):
yup
OpenStudy (anonymous):
ok one sec
OpenStudy (anonymous):
I got 13.6014705087
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Vocaloid (vocaloid):
right, so what happens when you round to the nearest 10th?