Question

the perimeter of abcd is 20 inches and ac = 10 inches. what is the length of eh in inches? (1 point) 16 8 5 10

Explanation:

Step1: Recall mid - segment theorem

In a triangle, the segment joining the mid - points of two sides is parallel to the third side and half its length. In the figure, assume relevant triangles where $EH$ is a mid - segment.

Step2: Identify the related side

If we consider the appropriate triangle formed by the given parallelogram - like figure, and assume some mid - point relationships, we can see that $EH$ is related to a known side. Given that the information about the perimeter seems not directly relevant here, and if we assume that $EH$ is a mid - segment of a triangle where the corresponding side length is related to the given $AC = 10$ inches. According to the mid - segment theorem, if $EH$ is a mid - segment of a triangle with a side parallel to it, then $EH=\frac{1}{2}$ of that side.

Answer:

C. 5