ACDE ~ APQR. CD = 9 m, EC = 15 m, PQ = 15 m. What is the length
of R.P?
To find the length of R.P, we need to first calculate the length of AC and then use this information to find the length of R.P.
Given that CD = 9 m, EC = 15 m, and PQ = 15 m, we can use the triangle similarity property in ACDE ~ APQR to find the length of AC:
AC / AP = CD / PQ
AC / AP = 9 / 15
AC / AP = 3 / 5
AC = (3/5) * AP
Now, we can use the fact that AC + EC = AP to find the length of AP:
AC + EC = AP
(3/5) * AP + 15 = AP
3AP + 75 = 5AP
75 = 2AP
AP = 37.5 m
Now that we have the length of AP, we can find the length of R.P using the triangle similarity property:
AC / AP = CD / PQ
AC / AP = 9 / 15
AC / 37.5 = 9 / 15
AC = (9/15) * 37.5
AC = 22.5 m
Since R.P is a part of PQ, R.P = PQ - AC = 15 - 22.5 = -7.5 m
Therefore, the length of R.P is 7.5 m.