The length of side C is 9.7
How to find the length of side c
The the length of side c is calculated using the sine rule which sates that the ratio of a side and the opposite angles are equal to each other
The triangle is an isosceles triangle since side a = b, so the angles are solved as follows
= (180 - 44) / 2
= 68
a = b = 68 degrees
Sine rule
Sine A / a = Sine B / b = Sine C / c
applying the formula for the problem
Sine A / a = Sine C / c
Sine 68 / 13 = Sine 44 / c
cross multiplying
c = 13 * Sine 44 / Sine 68
c = 9.7398
c = 9.7 to the nearest tenth