In traingle DEF, DE=18m and EF=6m. Side FD maybe
could be at least 18 - 6 = 12
could be at most 18 +6 = 24
12 </= FD </= 24
DRAW IT !!!!!
Side FD might be taking a nap or practicing social distancing.
To determine 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 third side.
Given that DE = 18m and EF = 6m, we can consider the possible length range for FD.
Case 1: FD is the longest side:
In this case, FD > DE and FD > EF.
Therefore, FD > 18m and FD > 6m.
Case 2: FD is the shortest side:
In this case, FD < DE and FD < EF.
Therefore, FD < 18m and FD < 6m.
Combining both cases, we get:
FD > 18m AND FD > 6m in Case 1, and
FD < 18m AND FD < 6m in Case 2.
To summarize, based on the triangle inequality theorem, the possible range for FD is that it must be greater than 6m (EF) and less than 18m (DE).
To find the length of side FD in triangle DEF, you can use the triangle inequality theorem. According to this theorem, in any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
In the case of triangle DEF, you have DE = 18m and EF = 6m. Now, let's determine the possible range of values for side FD:
1. The sum of DE and EF: DE + EF = 18m + 6m = 24m
2. The absolute difference between the lengths of DE and EF: |DE - EF| = |18m - 6m| = 12m
Using the triangle inequality theorem, we can conclude that side FD in triangle DEF must have a length between 12m and 24m, exclusive. In other words, 12m < FD < 24m.