Suppose for the moment that the inequality holds for all :
Expanding everything gives
In particular, the inequality says that for any choice of
. But if
and
, then
while
.
So one possible choice of could be
and
. Then we get
but clearly it's not true that .
Answer: The perimeter is 17.52
Step-by-step explanation:
1. You can plot the points, as you can see in the graph attached.
2. As you can see in the graph, the points are:
And the lenghts <em>AB</em> and <em>EA</em> are:
3. To find the other lenghts, you can apply the formula for calculate the distance between two points:
4. Thefore, you have:
5. The perimeter is:
