CDF~PQR. CD=9m,EC=15m, PQ= 15m. What is the length of RP??

Answer 1

In triangle CDF, we have the following relationships:

CD + EC = DE
9m + 15m = DE
24m = DE

In triangle PQR, we have the following relationships:

PQ + QR = PR
15m + RP = PR
RP = PR - PQ

Since PR is equal to DE (as they are corresponding sides of congruent triangles), we can substitute DE with 24m:

RP = 24m - 15m
RP = 9m

Therefore, the length of RP is 9 meters.