Answer
$A=90^\circ$
$b\approx0.34$
$c\approx0.94$
Work Step by Step
1. Find the third angle $A=180-70-20=90^\circ$
2. Use the Law of Sines, we have $\frac{b}{sin20^\circ}=\frac{c}{sin70^\circ}=\frac{1}{sin90^\circ}$
3. $b=\frac{sin20^\circ}{sin90^\circ}\approx0.34$
4. $c=\frac{sin70^\circ}{sin90^\circ}\approx0.94$