Prove the following both indirectly in paragraph form and also in a two column formal proof format: Prove that the sum of the lengths of the medians of a triangle is greater than half the perimeter.
Prove the following both indirectly in paragraph form and also in a two column formal proof format: Prove that the sum of the lengths of the medians of a triangle is greater than half the perimeter.
Chapter2: Equations And Inequalities
Section2.1: The Rectangular Coordinate Systems And Graphs
Problem 58SE: Given the graph of the rectangle shown and the coordinates of its vertices, prove that the diagonals...
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Prove the following both indirectly in paragraph form and also in a two column formal proof format: Prove that the sum of the lengths of the medians of a
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Step 1
Let ABC be a triangle with sides AB, BC, and CA. Also, M is the mid-point of AB and mc is the median coming from C. Figure is given below
Step 2
Formula Used:
- The sum of ant two sides of a triangle is greater than the median drawn to the third side.
- If a, b, and c are the sides of a triangle then the parameter of the triangle is a + b + c.
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