△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Responses
25 m
25 m
9 m
9 m
0.6 m
0.6 m
30 m
To find the length of RP¯¯¯¯¯¯¯¯, we can compare the corresponding sides of the similar triangles.
From the given information, we have CD=9 m and EC=15 m in triangle CDE and PQ=15 m in triangle PQR.
Since the triangles are similar, we can set up the following proportion:
CD/CDE = PQ/PQR
9/15 = 15/RP
Cross-multiplying, we get:
9 * RP = 15 * 15
9RP = 225
RP = 225/9
RP = 25
Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25 m.