Answer:
a = 8 (to nearest whole number)
Step-by-step explanation:
Given:
m<B = 36°
m<C = 104°
c = 12
Required:
a
SOLUTION:
✔️First find m<A:
m<A = 180 - (104 + 36)
m<A = 40°
✔️Find a using Sine Rule:
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{a}{sin(40)} = \frac{12}{sin(104)} [/tex]
Multiply both sides by sin(40)
[tex] \frac{a}{sin(40)} * sin(40) = \frac{12}{sin(104)} * sin(40) [/tex]
[tex] a = \frac{12*sin(40)}{sin(104)} [/tex]
[tex] a = 8 [/tex] (nearest whole number)
