160k views
2 votes
Can you help me with number 16? Thank you I am having trouble with it.

Can you help me with number 16? Thank you I am having trouble with it.-example-1

1 Answer

5 votes

The cosine rule in triangle ABC with sides a opposite to angle A, b opposite to angle B, and c opposite to angle C is


\begin{gathered} a^2=b^2+c^2-2bc\cos A \\ b^2=a^2+c^2-2ac\cos B \\ c^2=a^2+b^2-2ab\cos C \end{gathered}

From the given figure we can see triangle ABC with


\begin{gathered} \angle C=39^(\circ) \\ a=26 \\ b=17 \end{gathered}

Since angle C is the angle between sides a and b

Then we can use the cosine rule to find the length of the side c

The name of side c in triangle ABC is the side AB

Then we can use the cosine rule to find side AB

AB. Yes

User Edudepetris
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.