IB Mathematics Applications & Interpretation Question Type 5: Using Cosine Rule to Find All the Angles Between Sides Exercises

In triangle $ABC$, the sides measure $AB=3$, $BC=4$, and $CA=5$. Determine angles $A$, $B$, and $C$ using the cosine rule.

Triangle $ABC$ has sides $AB=10$, $BC=15$, and $CA=20$. Calculate the angles $A$, $B$, and $C$.

Find all interior angles of triangle ABC if $AB=5$, $BC=12$, and $CA=13$ using the cosine rule.

In triangle $ABC$, the sides are $AB=3$, $BC=7$, and $CA=9$. Use the cosine rule to find angles $A$, $B$, and $C$.

Triangle ABC has sides $AB=9$, $BC=9$, and $CA=14$. Find angles $A$, $B$, and $C$.

In triangle $ABC$, $AB=8$, $BC=13$, and $CA=15$. Determine the size of the angles $A$, $B$, and $C$ using the cosine rule.

Calculate the angles of triangle ABC where $AB=11$, $BC=14$, and $CA=17$ using the cosine rule.

In triangle ABC, the side lengths are $AB=7$, $BC=8$, and $CA=9$. Find all interior angles $A$, $B$, and $C$ using the cosine rule.

In triangle $ABC$ the sides are $AB=4$, $BC=5$, and $CA=6$. Use the cosine rule to find angles $A$, $B$, and $C$.

Triangle ABC has sides $AB=7$, $BC=10$, and $CA=5$. Determine angles $A$, $B$, and $C$.

In triangle $ABC$, the side lengths are $AB=2.5$, $BC=4.3$, and $CA=5.6$.

Find the size of the angles $A$, $B$, and $C$. Give your answers correct to one decimal place.