△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Responses
30 m
30 m
9 m
9 m
0.6 m
0.6 m
25 m
25 m
To find the length of RP¯¯¯¯¯¯¯¯, we can use the similarity ratio of the triangles.
The similarity ratio between the corresponding sides of similar triangles is equal.
Therefore, we can set up the proportion:
CD/EC = PQ/RP
Substituting the given values, we get:
9/15 = 15/RP
Cross-multiplying, we get:
9RP = 15*15
Simplifying, we get:
9RP = 225
Dividing both sides by 9, we get:
RP = 25
Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25 m.