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OpenStudy (volleyballlover55):
Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.
Is the room in the shape of a square? Explain how you determined your answer. Show all your work.
OpenStudy (volleyballlover55):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
|dw:1469062693029:dw|
use the pythagorean theorem to find the value of x
OpenStudy (volleyballlover55):
ok so i do this?
18.79^2+17^2=c^2?
jimthompson5910 (jim_thompson5910):
|dw:1469062852908:dw|
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jimthompson5910 (jim_thompson5910):
a^2+b^2 = c^2
17^2+x^2=18.79^2
jimthompson5910 (jim_thompson5910):
solve for x
OpenStudy (volleyballlover55):
oh ok!
jimthompson5910 (jim_thompson5910):
keep in mind that c is always the longest side (aka the hypotenuse)
jimthompson5910 (jim_thompson5910):
the longest side is always opposite the 90 degree angle
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OpenStudy (volleyballlover55):
ok!
OpenStudy (volleyballlover55):
i got 8
jimthompson5910 (jim_thompson5910):
did you get a long decimal number?
jimthompson5910 (jim_thompson5910):
or just 8?
OpenStudy (volleyballlover55):
i got x=8.00400524
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jimthompson5910 (jim_thompson5910):
good
OpenStudy (volleyballlover55):
so is that the answer?
jimthompson5910 (jim_thompson5910):
|dw:1469063244032:dw|
jimthompson5910 (jim_thompson5910):
if we draw in a rectangle like so
|dw:1469063263309:dw|