Answer:
m = 5.33
Step-by-step explanation:
First we need to calculate angle N.
Sum of angles in a triangle is 180°
∠L + ∠M + ∠N = 180°
108°+25°+∠N = 180°
∠N = 180°-(108°+25°}
∠N = 180°-133°
∠N = 47°
Given side l = 12, to get m, we will use the sine rule.
l/sinL = m/sinM = n/sinN
12/sin108° = m/sin25°
m × sin108°= 12sin25°
m = 12sin25/sin108°
m = 5.071/0.951
m = 5.33
