Exercises for Question Type 5: Using cosine rule to find all the angles between sides - IB | RevisionDojo

Question Type 5: Using cosine rule to find all the angles between sides Exercises

Question 1

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

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Question 2

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

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Question 3

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

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Question 4

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

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Question 5

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

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Question 6

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

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Question 7

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

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Question 8

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.

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Question 9

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

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Question 10

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

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Question 11

The question requires the application of the cosine rule to find the angles of a triangle when all three side lengths are given.

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.

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