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

ABC is similar to the triangle FED
so AB/FE=AC/FD=BC/ED
AB=5
BC=12
AC=13
FE=14
5/14=13/FD
FD=36.4
BC/ED=AB/FE
12/ED=5/14
ED=33.6
perimeter of ABC=5+12+13=30
perimeter of FED=14+36.4+33.6=75
Aaliyah would run 75 in FED

Answer 2

well, track ABC has sides 12, 13, and 5. Track FED is similar to track ABC so AB is FE. In that case. 14/5=2.8. Multiplie 5*2.8 to get FE as 14. 12*2.8=33.6(rounded)34 as ED. 13*2.8=36.4 rounded = 36. The sides of FED are going to be 14, 34, and 36.

Answer 3

Add the sides of FED to see how much Aaliyah will run

Answer 4

Ash got it wrong, He added 14+33.6+36.4 to get 75, that adds up to 84. Plus he didn't round the number to the nearest tenth. 14+34+36=84 also.

Answer 5

@Blank123 so the answer is 84?