△CDE∼△PQR. CD=9 m, EC=15 m, PQ=15 m. What is the length of RP

25 m
0.6 m
9 m
30 m

3 answers

To find the length of RP, we first need to determine the scale factor relating the two similar triangles, ∆CDE and ∆PQR.

The scale factor between two similar triangles is the ratio of corresponding side lengths. In this case, the corresponding sides are CD and PQ.

Scale factor (k) = PQ/CD = 15/9 = 5/3

Now, to find the length of RP:
RP = k * EC
RP = (5/3) * 15
RP = 25 m

Therefore, the length of RP is 25 meters.
Correct!
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