The sides of a triangular path measure 7 m, 9 m, and 11 m. Find the perimeter of a similar triangle in which the shortest side has a length of 21 meters.(1 point)
Responses
21 m
21 m
27 m
27 m
81 m
81 m
33 m
To find the perimeter of a similar triangle, we can use the concept of proportional sides.
In the given triangle, the shortest side measures 7 m. In the similar triangle, the corresponding side would be 21 m.
The ratio of the corresponding sides in similar triangles is equal to the scale factor.
Therefore, the scale factor is 21/7 = 3.
To find the other sides of the similar triangle, we can multiply each side of the original triangle by the scale factor.
The sides of the similar triangle would measure 3 * 7 = 21 m, 3 * 9 = 27 m, and 3 * 11 = 33 m.
The perimeter of the similar triangle is the sum of its sides:
21 + 27 + 33 = 81 m.
Therefore, the correct answer is 81 m.