△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?
In similar triangles, the ratios of the corresponding sides are equal.
In this case, the corresponding sides are CD, EC, and PQ.
So, we have:
CD/EC = PQ/RP
Plugging in the given values, we get:
9/15 = 15/RP
Cross multiplying, we get:
9 * RP = 15 * 15
Simplifying, we get:
RP = (15 * 15) / 9
RP = 225 / 9
RP = 25 m
Therefore, the length of RP is 25 meters.