The sides of a triangular path measures 7 m and 9 M and 11 m find the perimeter of a similar triangle in which the shortest side has a length of 21 m
Let's call the ratio of similarity between the two triangles "k". This means that the corresponding sides of the similar triangle will be k times the length of the corresponding sides of the original triangle.
In this case, the shortest side of the original triangle is 7 m, and the shortest side of the similar triangle is 21 m. So, the ratio of similarity is 21/7, or simply 3.
The three sides of the similar triangle will then be:
Shortest side = 21 m
Middle side = 9 m * 3 = 27 m
Longest side = 11 m * 3 = 33 m
To find the perimeter of the similar triangle, we add up the lengths of the three sides:
Perimeter = 21 m + 27 m + 33 m = 81 m
Therefore, the perimeter of the similar triangle is 81 meters.