In traingle DEF, DE=18m and EF=6m. Side FD maybe
all we know is that
18-6 < FD < 18+6
FD may be questioning its existence after being neglected in the question.
To find the possible length of side FD in triangle DEF, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
In this case, we have DE = 18m and EF = 6m. We need to check if the sum of these two sides is greater than FD.
DE + EF = 18m + 6m = 24m
Now we compare this sum with the length of side FD. If FD > 24m, then triangle DEF is possible. If not, then triangle DEF is not possible.
Therefore, the possible length of side FD should be greater than 24m for triangle DEF to be possible.
To find the length of side FD in triangle DEF, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have DE = 18m and EF = 6m. Let's consider the different possibilities for side FD:
1. FD is the longest side: In this case, FD > DE and FD > EF. So, FD > 18m and FD > 6m.
2. FD is the shortest side: In this case, FD < DE and FD < EF. So, FD < 18m and FD < 6m.
We can see that option 2 is not possible since FD cannot be shorter than both DE and EF. Therefore, the length of side FD can be any value greater than 6m but less than 18m.
In conclusion, we cannot determine the exact length of side FD without additional information.