Question

find b.
© algebra einstein, 2023

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment theorem states that the length of the mid - segment (a segment connecting the midpoints of two sides of a triangle) is half the length of the third side. In triangle \(JOL\), \(KM\) is the mid - segment (\(K\) is the midpoint of \(JL\) and \(M\) is the midpoint of \(OL\)).

Step2: Calculate the value of \(b\)

Given that the length of the side \(JO = 40\). Since \(b\) (the length of the mid - segment \(KM\)) is half of \(JO\), we have \(b=\frac{40}{2}\).

Answer:

\(b = 20\)