Answer:
1.00 and 1.73
Step-by-step explanation:
1) Calculating the 1st and the 2nd leg using trigonometric function sine:
[tex]sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73[/tex]
Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.
[tex]a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73[/tex]
Sides
a hypotenuse: 2.00
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b leg: 1.73
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c leg: 1.00
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