Altitude of Triangle I

Project ID: 
7200000095
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
Triangles are given by their side lengths and sizes of angles $\alpha$ and $\beta$ at vertices $A$ and $B$, respectively (see the picture). Match each triangle with the length of its altitude $CD$.
Unfolding Image: 
Questions Title: 
Triangle
Answers Title: 
Lenght of Altitude $CD$
Question 1: 
\begin{aligned} a&=7\cr b&=5\cr \beta&=35^\circ \end{aligned}
Answer 1: 
$$4.02$$
Question 2: 
\begin{aligned} a&=8\cr b&=9\cr \alpha&=20^\circ \end{aligned}
Answer 2: 
$$3.08$$
Question 3: 
\begin{aligned} a&=10\cr b&=5\cr \beta&=40^\circ \end{aligned}
Answer 3: 
$$6.43$$
Question 4: 
\begin{aligned} a&=8\cr b&=5\cr \alpha&=50^\circ \end{aligned}
Answer 4: 
$$3.83$$
Answer 5: 
$$6.51$$
Answer 6: 
$$4.56$$