Answer
$c = 124.3$ units
$A = 33.2˚$
$B = 56.8˚$
Work Step by Step
1. Find the missing length $c$
$a^{2} + b^{2} = c^{2}$
$(68.0)^{2} + (104)^{2} = c^{2}$
$c = \sqrt (4624 + 10816)$
$c = \sqrt (15440)$
$c = 124.2577965$ units
$c = 124.3$ units
2. Find the missing angles $\angle A$ and $\angle B$
$\frac{sin(A)}{68.0} = \frac{sin(90)}{124.3}$
$sin(A) = \frac{68sin(90)}{(124.3)}$
$sin(A) = \frac{68}{124.3}$
$sin(A) = 0.547249...$
$A = 33.2˚$
Area of a triangle $= 180˚$
$A + B + C = 180$
$33.2 + 90 + B = 180$
$123.2 + B = 180$
$B = 56.8˚$
