Which of the following are the possible side lengths of a triangle ?
X=17.3in , y =20.7in z=34 in
X= 17.3 in, y =20.7in, z =42
X=17.3 in, y=16.7 in ,z =38in
X=13.3 in , y =20.7 in , z =38in
The possible side lengths of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, the possible side lengths of a triangle are:
- X = 17.3 in, y = 20.7 in, z = 34 in
- X = 17.3 in, y = 16.7 in, z = 38 in
- X = 13.3 in, y = 20.7 in, z = 38 in
The combination X = 17.3 in, y = 20.7 in, z = 42 in is not possible because 17.3 + 20.7 is not greater than 42.