To prove: the
Answer to Problem 16WE
The triangle is isosceles triangle.
Explanation of Solution
Given:
Two medians of triangle are congruent.
Calculation:
Consider a triangle with two equal medians as shown below:
Here, DC and BE are equal. Thus, the point of intersection of medians of a triangle is
Hence,
In equations (1) and (2), DC and BE are equal. Hence, BO must be equal to CO.
Similarly,
In triangles DOB and EOC,
Hence,
BE and DC are the medians,
Hence,
Hence, the triangle is isosceles triangle.
Chapter 10 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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