Right angled triangle 3

Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.

Correct result:

c =  4.3857
a =  4.1212

Solution:

$$\begin{gathered} A=70^{\circ } \\ B=20^{\circ }\to \text{ rad}=20^{\circ }\cdot {\displaystyle \frac{\pi }{180}}=20^{\circ }\cdot {\displaystyle \frac{3.1415926}{180}}=0.34907=\pi \mathrm{/}9 \\ b=1.5 \\ \sin B={\displaystyle \frac{b}{c}} \\ c=b\mathrm{/}\sin (B)=1.5\mathrm{/}\sin (0.3491)=4.3857 \end{gathered}$$

Try calculation via our triangle calculator.

$a=\sqrt{c^2-b^2}=\sqrt{4.3857^2-1.5^2}=4.1212$

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