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points a and b are midpoints of the sides of triangle qrs. what is sa? …

Question

points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m

Explanation:

Step1: Use the mid - point theorem

Since \(A\) and \(B\) are mid - points of the sides of \(\triangle QRS\), \(QA = AS\) (by the mid - point theorem which states that the line segment joining the mid - points of two sides of a triangle is parallel to the third side and half of it. Here, more directly, if \(A\) is the mid - point of \(QS\)).

Step2: Calculate \(SA\)

Given \(QA=4\mathrm{m}\). Since \(A\) is the mid - point of \(QS\), \(SA = QA\).

Answer:

\(4\mathrm{m}\)