Consider the following for the next two (02) items that follow :
Let two parallel line segments $PQ = 5$ cm and $RS = 3$ cm be perpendicular to a horizontal line AB, as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS.
What is the length of MN?
To find the length of MN, we need to analyze the given geometrical situation precisely. Let's proceed with the following steps:
To find \(MN\), we will use the properties of similar triangles:
Thus, the length of \(MN\) is \(\frac{15}{8}\) cm.
This verifies that the correct answer is indeed \(\frac{15}{8}\) cm.
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