Median of Triangle

Project ID: 
7200000079
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
Triangles are given by their side lengths and the size of angle $\beta$ at vertex $B$. Match each triangle with the length of its median $CD$ (see the picture).
Unfolding Image: 
Questions Title: 
Triangle
Answers Title: 
Length of Median $CD$
Question 1: 
\begin{aligned} a&=8\cr c&=5\cr \beta&=35^{\circ} \end{aligned}
Answer 1: 
$$6.12$$
Question 2: 
\begin{aligned} a&=7\cr c&=4\cr \beta&=45^{\circ} \end{aligned}
Answer 2: 
$$5.76$$
Question 3: 
\begin{aligned} a&=2\cr c&=8\cr \beta&=60^{\circ} \end{aligned}
Answer 3: 
$$3.46$$
Question 4: 
\begin{aligned} a&=5\cr c&=7\cr \beta&=70^{\circ} \end{aligned}
Answer 4: 
$$5.03$$
Answer 5: 
$$6.51$$
Answer 6: 
$$4.56$$