△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Since triangles △CDE and △PQR are similar, their corresponding sides are proportional.
Let x represent the length of RP¯¯¯¯¯¯¯¯.
Using the given information, we can set up the following proportion:
(CD / EC) = (PQ / x)
Substituting the given values:
(9 m / 15 m) = (15 m / x)
Simplifying the proportion:
9/15 = 15/x
Cross-multiplying:
9x = 15 * 15
9x = 225
Dividing both sides by 9:
x = 225 / 9
x = 25
Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25 m.