+26400 If c=12, m angle A=80, and m angle c=40, find a
We can use the sine rule to find the size of an angle or length of a side.
The sine rule is:
or 
$$\small{\text{
Here we have:
$
\boxed{
\dfrac{ \sin{(C)} }{c}= \dfrac{ \sin{(A)} }{a}
}
$}} \\\\
a\cdot \sin{(C)} = c\cdot \sin{(A)} \\\\
a = c\cdot \dfrac{\sin{(A)} }{ \sin{(C)} }\\\\
a = 12\cdot\dfrac{\sin{(80\ensurement{^{\circ}})} }{ \sin{(40\ensurement{^{\circ}})} }\\\\
a = 12\cdot\dfrac{ 0.98480775301}{ 0.64278760969}\\\\
a = 12\cdot 1.53208888624\\\\
a = 18.3850666349$$
+26400 If c=12, m angle A=80, and m angle c=40, find a
We can use the sine rule to find the size of an angle or length of a side.
The sine rule is:
or
$$\small{\text{
Here we have:
$
\boxed{
\dfrac{ \sin{(C)} }{c}= \dfrac{ \sin{(A)} }{a}
}
$}} \\\\
a\cdot \sin{(C)} = c\cdot \sin{(A)} \\\\
a = c\cdot \dfrac{\sin{(A)} }{ \sin{(C)} }\\\\
a = 12\cdot\dfrac{\sin{(80\ensurement{^{\circ}})} }{ \sin{(40\ensurement{^{\circ}})} }\\\\
a = 12\cdot\dfrac{ 0.98480775301}{ 0.64278760969}\\\\
a = 12\cdot 1.53208888624\\\\
a = 18.3850666349$$
