Right triangle

It is given a right triangle
angle alpha of 90 degrees
the beta angle of 55 degrees
c = 10 cm
use the Pythagorean theorem to calculate sides a and b

Final Answer:

a =  17.4345 cm
b =  14.2815 cm

Step-by-step explanation:

$$\begin{gathered} c=10\text{cm} \\ \beta =55{}^{\circ } \\ {a}^2=b^2+c^2 \\ \cos \beta =c/a \\ a=c/\cos \beta =c/\cos 55°=10/\cos 55°=10/0.573576=17.434=17.4345\text{cm} \end{gathered}$$

$b=\sqrt{a^2-c^2}=\sqrt{17.4345^2-10^2}=14.2815\text{cm}$

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