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Mathematics 18 Online
OpenStudy (anonymous):

what is the length of leg s of the triangle below?

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

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

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 ?

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 ?

jhonyy9 (jhonyy9):

sqrt2 * 10sqrt2 = 2s can you continue ?

jhonyy9 (jhonyy9):

sqrt2 *sqrt2 = ?

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