Mathematics
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OpenStudy (anonymous):
what is the length of leg s of the triangle below?
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OpenStudy (anonymous):
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jhonyy9 (jhonyy9):
do you know sin 45 = ?
OpenStudy (anonymous):
no
jhonyy9 (jhonyy9):
you have learned it sure
jhonyy9 (jhonyy9):
and you need to know again sinus of an angle is equale using the proportionalitie of sides
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OpenStudy (anonymous):
sin(θ) = Opposite / Hypotenuse
jhonyy9 (jhonyy9):
yes so now you need to know just the value of sin 45 = ?
OpenStudy (anonymous):
45= x+10 squareroot 2?
jhonyy9 (jhonyy9):
no the value of sin 45 = sqrt2 / 2
but if you check your triangle you not can using sinus for calculi x
so than you can using what ?
jhonyy9 (jhonyy9):
ok yes you can using sinus too becasue this is an equilateral triangle
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jhonyy9 (jhonyy9):
than you can writing it now ?
jhonyy9 (jhonyy9):
will be
sin 45 = s / 10sqrt2
jhonyy9 (jhonyy9):
so than
s = ?
OpenStudy (anonymous):
14
jhonyy9 (jhonyy9):
how you have got this result ?
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jhonyy9 (jhonyy9):
you know that sin 45 = sqrt2 /2
jhonyy9 (jhonyy9):
so than you can writing
sqrt2 /2 = s / 10sqrt2
from this you need to calculi s = ?
OpenStudy (anonymous):
sqrt2 / 2= 1
jhonyy9 (jhonyy9):
why ?
how you have got 1 ?
jhonyy9 (jhonyy9):
sqrt2 s
------ = --------
2 10sqrt2
so what you will get if you cross multiplie ?
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jhonyy9 (jhonyy9):
sqrt2 * 10sqrt2 = 2s
can you continue ?
jhonyy9 (jhonyy9):
sqrt2 *sqrt2 = ?