The scale factor of the bigger triangle to the smaller one is 2/3.
What is scale factor?
The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.
Given: In ΔPQR,
PR= 8, PQ= 10 , RQ=6
and In ΔSTU,
SU=12, ST=15, UT=9
Scale factor= side of ΔPQR/ side of ΔSTU
= PR/ SU
= 8/12
= 2/3
Similarly, PQ/ST= 10/15= 2/3
and, RQ/ST = 6/9= 2/3
Hence, the scale factor will be 2/3.
Learn more about scale factor here:
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