\frac { \sin 26 } { a } = \frac { \sin 14 } { 3,9 }
Solve for a
a=\frac{39\sin(26)}{10\sin(14)}\approx 3.002176331
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\sin(26)=a\times \frac{\sin(14)}{3,9}
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.
a\times \frac{\sin(14)}{3,9}=\sin(26)
Swap sides so that all variable terms are on the left hand side.
\frac{10\sin(14)}{39}a=\sin(26)
The equation is in standard form.
\frac{39\times \frac{10\sin(14)}{39}a}{10\sin(14)}=\frac{39\sin(26)}{10\sin(14)}
Divide both sides by \frac{10}{39}\sin(14).
a=\frac{39\sin(26)}{10\sin(14)}
Dividing by \frac{10}{39}\sin(14) undoes the multiplication by \frac{10}{39}\sin(14).
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