△CDE~ △PQR. CD = 9 m, EC = 15 m, PQ = 15 m. What is the length of RP?
Based on the given information, we have the following similarity ratio between the two triangles:
(CD/PQ) = (DE/RP)
Substituting the given values, we have:
(9/15) = (DE/RP)
Multiplying both sides by RP, we get:
(9/15) * RP = DE
Simplifying, we have:
(3/5) * RP = DE
Since DE = EC + CD = 15 + 9 = 24 m, we can solve for RP:
(3/5) * RP = 24
Multiplying both sides by 5/3, we get:
RP = (24 * 5) / 3
Simplifying, we have:
RP ≈ 40 m
Therefore, the length of RP is approximately 40 meters.
incorrect
I apologize for the incorrect response.
To find the length of RP, we can use the concept of ratios in similar triangles.
From the given information, we have the similarity ratio:
(CD/PQ) = (DE/RP)
Substituting the known values, we have:
(9/15) = (24/RP)
Cross-multiplying, we get:
9 * RP = 15 * 24
Simplifying, we have:
9RP = 360
Dividing both sides by 9, we get:
RP = 40
Therefore, the length of RP is 40 meters.