Question

Aaliyah runs on a triangular track in a local park. On Saturday, she runs one lap around track ABC. The length of each path on this track is shown in meters (m) in the diagram below.

Park Tracks


If track FED is similar in shape to track ABC, what is the distance, to the nearest tenth of a meter, Aaliyah would run in one lap on track FED? Do not type a unit with your answer.

Answer 1

They r similar triangles and so all their corresponding sides will be in the same ratio i.e

AB BC AC
--- = ----- = -----
EF DE FD

From the figure we find

AB 5
--- = ----
EF 14

Answer 2

so
BC
-- also has to be in the same ratio
DE
hence
12 5 12 * 14
-- = --- => -------- = DE => DE = 33.6
DE 14 5

Answer 3

Similarly
AC 5 13 5 13 * 14
-- = ---- => ---- = ---- => -------- = FD => FD = 36.4
FD 14 FD 14 5

Answer 4

so in one lap of FED, distance covered = DE + EF + FD = 33.6 + 14 + 36.4 = 84

Answer 5

you son ov a beitch, why couldn't you just give us the answer?!??!