From the
, the lines
and
are parallel,
.
By Triangle Proportionality Theorem, in a triangle if a line is parallel to one side of the
\triangle and intersects the other two sides in two distinct points, then it separates these
\sides into segments of proportional lengths.
\Since
,
.
Find LT.
\
(Apply Segment addition postulate)
(Substitute
)
(Subtract 3 from each side)
Use the proportion to determine WS.
\
(Write the proportion)
(Substitute
)
(Apply cross products property)
(Multiply:
)
(Divide each side by 3)
The measure of WS is 10.