Project ID:
7200000094
Accepted:
Type:
Layout:
Question:
Point $D$ (the foot of the altitude $CD$) divides side $c$ of triangle $ABC$ into two segments of lengths $c_a$ and $c_b$, such that $c=c_a+c_b$ (see the picture). Match each triangle, specified by the lengths of the segments or the side $c$ and the size of an inner angle, to the length of its altitude $CD$ rounded to two decimal places.
Unfolding Image:
Questions Title:
Triangle
Answers Title:
Lenght of Altitude $CD$
Question 1:
\begin{aligned}
c_a&=3\cr
c_b&=5\cr
\beta&=35^\circ
\end{aligned}
Answer 1:
$$3.5$$
Question 2:
\begin{aligned}
c_a&=2.5\cr
c_b&=6.1\cr
\beta&=40^\circ
\end{aligned}
Answer 2:
$$5.12$$
Question 3:
\begin{aligned}
c&=10.3\cr
c_b&=6.2\cr
\alpha&=60^\circ
\end{aligned}
Answer 3:
$$7.10$$
Question 4:
\begin{aligned}
c_a&=5.4\cr
c_b&=3.7\cr
\alpha&=45^\circ
\end{aligned}
Answer 4:
$$5.4$$
Question 5:
\begin{aligned}
c&=11.5\cr
c_b&=4.2\cr
\beta&=60^\circ
\end{aligned}
Answer 5:
$$12.64$$
Question 6:
\begin{aligned}
c&=11.8\cr
c_b&=3.5\cr
\alpha&=30^\circ
\end{aligned}
Answer 6:
$$4.79$$
Answer 7:
$$10.74$$
Answer 8:
$$2.1$$