To prove: Ratio of sides of
Explanation of Solution
Given information:
Consider the following triangles and their medians.
From the above diagram, it is given that
Note that the triangles,
Note that A', B' and C' are midpoints of sides BC, AC and AB respectively.
This implies that,
This further implies that,
Since the sides of
Therefore, it follows that
In a similar way, it can be shown that
Since
Therefore, the lengths of the corresponding medians are in the same ration as the lengths of the corresponding sides.
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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