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| PAGE: 410 | SET: Exercises | PROBLEM: 2 |
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.
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