the sides of a triangular path measure 7 m , 9m and 11m. find the perimeter of a triangle in which the shortest side has a length of 21 meters
To find the perimeter of the triangle with a shortest side of 21 meters, we need to determine the lengths of the other two sides.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, in this case, the sum of the two known sides (7m and 9m) must be greater than the longest side (21m).
7m + 9m > 21m
16m > 21m
This is not true, so a triangle with sides of 7m and 9m cannot exist if the longest side is 21m.
Therefore, there is no triangle that can be formed with sides of 7m, 9m, and 21m.