Homework Help Forum: geometry

Posted by behzad on Monday, August 9, 2010 at 4:57pm.


I need to find the fifth side. I have a polgon(5 sided).
The distnace:
A to B= 4"
B to C =8"
C to D = 18"
D to E = 23"
E to A = ? in which is 39"

How do I find E to A if it is applied?

The numbers changing in polygon, sometime A to B is missing so I have to find the value for 8"

question: if I have four sided how can I predict the fifth sides?

I know it is very difficult to answer but what are the limitations in which the answer for the above is 39 for A to E.

To find the missing side length of the polygon, we can use the fact that the sum of the lengths of the sides of any polygon is equal to the perimeter of the polygon.

In this case, we are given the lengths of four sides: AB = 4", BC = 8", CD = 18", and DE = 23". We are also given that the perimeter of the polygon is 39".

To find the missing side length, we need to subtract the sum of the given side lengths from the perimeter of the polygon.

Sum of given side lengths = AB + BC + CD + DE
= 4" + 8" + 18" + 23"
= 53"

Missing side length (AE) = Perimeter - Sum of given side lengths
= 39" - 53"
= -14"

Since the result is negative (-14"), this means that the lengths of the given sides do not form a valid polygon with a perimeter of 39". There might be a mistake in the given information or the lengths of the sides provided.

If you have a four-sided polygon and want to predict the length of the fifth side, you need additional information. Without any other given lengths or angles, it's not possible to predict the length of the fifth side.

In this particular case, the given information does not lead to a valid solution, as the sum of the given side lengths is greater than the specified perimeter. You might want to double-check the given lengths or provide more information to accurately determine the length of the missing side.