39.9k views
2 votes
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.C = 109.3°a = 5.6 kmb = 10.7 km

User Mcuenez
by
7.9k points

1 Answer

6 votes

In order to find the third side of this triangle, let's use the law of the cosines:

c² = a²+b²-2.a.b.cosC


\begin{gathered} c^2=a^2+b^2-2\cdot a\cdot b\cdot\cos C \\ c^2=(5.6)^2+(10.7)^2-2\cdot5.6\cdot10.7\cdot\cos 109.3 \\ c^(2)=31.36+114.49-39.608 \\ c^(2)=106.242 \\ c=10.307 \end{gathered}

Answer: c = 10.3 km, rounded to the nearest tenth.

User Shwetap
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories