IB Mathematics Analysis and Approaches Question Type 3: Finding Sides and Angles Using Sine Rule Exercises

In triangle $ABC$, side $b=8\text{ cm}$, angle $B=65^{\circ }$ and angle $C=45^{\circ }$. Find side $c$.

In triangle ABC, side $a=6\text{ cm}$, angle $A=40^{\circ }$ and angle $B=50^{\circ }$. Find side $b$.

In triangle ABC, side $c=8\text{ cm}$, angle $B=65^{\circ }$ and angle $C=35^{\circ }$. Calculate side $b$.

In triangle $ABC$, angle $A=65^{\circ }$, angle $B=45^{\circ }$ and side $a=6\text{ cm}$. Calculate side $b$.

In triangle ABC, angle $B=45^{\circ }$, angle $C=70^{\circ }$ and side $c=8\text{ cm}$. Find side $a$.

In triangle ABC, side $b=6\text{ cm}$, side $c=8\text{ cm}$ and angle $B=65^{\circ }$. Determine angle $C$.

In triangle ABC, side $a=6\text{ cm}$, angle $A=65^{\circ }$ and angle $C=50^{\circ }$. Find side $c$.

In triangle ABC, side $a=6\text{ cm}$, angle $A=40^{\circ }$ and angle $B=50^{\circ }$. Find side $c$.

In triangle ABC, side $a=8\text{ cm}$, side $b=6\text{ cm}$ and angle $A=65^{\circ }$. Calculate angle $B$.

In triangle ABC, side $a=6\text{ cm}$, side $b=8\text{ cm}$ and angle $A=30^{\circ }$. Determine the two possible values of angle $B$.