Answer:
C. KL = 10.14
Step-by-step explanation:
You want the length of segment KL in ∆JKL given it is similar to ∆XYZ with lengths JK=11.31, XY=8.7, YZ=7.8.
Similar triangles
Corresponding sides of similar triangles are proportional. It can be useful to identify corresponding sides and their given measures:
JK = 11.31, XY = 8.7
KL = ?, YZ = 7.8
This lets us write the proportion ...
KL/JK = YZ/XY
KL/11.31 = 7.8/8.7 . . . . . . . . . . use given values
KL = 11.31(7.8/8.7) = 10.14 . . . multiply by 11.31
The measurement of KL is 10.14 untis.
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Additional comment
You have to go by the sequence of vertices in the similarity statement, not the appearance of the figure. One triangle is rotated from the other in the figure, so that parallel sides are not corresponding sides.
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