Answer:
20 units
Step-by-step explanation:
We can see that triangle QRS and triangle VWS are similar triangles.
Similar triangles are triangles in which the ratio of their corresponding sides are in the same proportion.
V is the midpoint of QS.
VS = 2a, QS = 2 * VS = 2(2a) = 4a
Since both triangles are similar triangles, hence:
\begin{gathered}\frac{VS}{QS}=\frac{VW}{QR}\\\\\frac{2a}{4a} =\frac{2a-2}{3a+6} \\\\\frac{2a-2}{3a+6} =\frac{1}{2} \\\\2(2a-2)=3a+6\\\\4a-4=3a+6\\\\a=10\ units\\\\VS=2a=2(10)=20\ units\end{gathered}
QS
VS
=
QR
VW
4a
2a
=
3a+6
2a−2
3a+6
2a−2
=
2
1
2(2a−2)=3a+6
4a−4=3a+6
a=10 units
VS=2a=2(10)=20 units
ur wlcm♥️♥️
