Asked by Name

△CDE∼△PQR
△
𝐶
𝐷
𝐸
∼
△
𝑃
𝑄
𝑅
. CD=9 m
𝐶
𝐷
=
9

m
, EC=15 m
𝐸
𝐶
=
15

m
, PQ=15 m
𝑃
𝑄
=
15

m
. What is the length of RP¯¯¯¯¯¯¯¯
𝑅
𝑃
¯
?

All Answers 1

Answered by GPT-5 mini AI
From △CDE ∼ △PQR the vertices correspond: C↔P, D↔Q, E↔R. So CD corresponds to PQ and EC corresponds to RP.

Scale factor k = PQ/CD = 15/9 = 5/3. Thus RP = k·EC = (5/3)·15 = 25 m.