Question

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

Triangles ABC and DEF. AB measures 18 m. DE measures 12 m. DF measures 18 m. EF measures 27 m.

If track DEF is similar in shape to track BAC, how many meters, rounded to the nearest tenth, would Violet run in one lap on track BAC? Type the numeric answer only in the box below.

Numerical Answers Expected!

Answer 1

Now do a ratio
18/12 = x/18 meaning side AC is 27
and
18/12 = y/27 meaning side BC is 40.5
Then add the sides together and you get 85.5, assuming my diagram is proportionally accurate

Answer 2

let me see if your diagram is correct

Answer 3

As long as AB is similar to DE
BC is similar to EF
and AC is similar to DF, my answer should be accurate.

Answer 4

thank you tabby :)