Mathematics
14 Online
OpenStudy (christina166):
The diagonal of a square is 8 units. Find the length of the side.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (sshayer):
use pythagoras's theorm to find the side.
OpenStudy (christina166):
what is the pythagoras theorm
OpenStudy (sshayer):
|dw:1464634103205:dw|
OpenStudy (christina166):
lol sorry
OpenStudy (christina166):
the diagonal is 8 but in order to use that theorm dont you need 2 diagonals
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (sshayer):
i have shown one diagonal is sufficient.
Diagonals of a square are equal.
OpenStudy (christina166):
okay
OpenStudy (christina166):
now what do i do :/ im sooo sorry i really am dumb
OpenStudy (sshayer):
x^2+x^2=8^2
find x
OpenStudy (christina166):
okay
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (christina166):
im sorry it would be x^2=32
OpenStudy (christina166):
hello?
OpenStudy (mathstudent55):
correct
keep going and solve for x
OpenStudy (christina166):
how do i eliminate the ^2
OpenStudy (mathstudent55):
Since you have \(x^2 = 32\), and you want just x, you take the square root of each side.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (christina166):
okay but how do i cancel it out
OpenStudy (christina166):
thanks for taking your time for this by the way
OpenStudy (mathstudent55):
\(x^2 = 32\)
\(\sqrt{x^2} = \sqrt{32} \)
\(x = \sqrt {32} \)
OpenStudy (mathstudent55):
You're welcome.
OpenStudy (christina166):
it equals to 5.66
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (christina166):
THANK YOU SO MUCH!!!!
OpenStudy (mathstudent55):
That is an approximation.
If you are asked for the exact length, then it is
\(\sqrt{32} = \sqrt{16 \times 2} = 4 \sqrt 2\)
OpenStudy (mathstudent55):
You're welcome.
OpenStudy (christina166):
OHH OKAY