Answer
$b = 41.5$ units
$A = 30.3˚$
$B = 59.7˚$
Work Step by Step
1. Find the missing length $b$
$a^{2} + b^{2} = c^{2}$
$(24.3)^{2} + (b)^{2} = (48.1)^{2}$
$(b)^{2} = (48.1)^{2} - (24.3)^{2}$
$b = \sqrt (2313.61 - 590.49)$
$b = \sqrt (1723.12)$
$b = 41.5104806$ units
$b = 41.5$ units
2. Find the missing angles $\angle A$ and $\angle B$
$\frac{sin(A)}{24.3} = \frac{sin(90)}{48.1}$
$sin(A) = \frac{24.3sin(90)}{(48.1)}$
$sin(A) = \frac{24.3}{48.1}$
$sin(A) = 0.5051975...$
$A = 30.3˚$
Area of a triangle $= 180˚$
$A + B + C = 180$
$30.3 + 90 + B = 180$
$120.3 + B = 180$
$B = 59.7˚$
