the vertex of a triangle ABC is A (5,7) and its centroid is E (7,5). Find the length of the medain of the triangle that cuts sides BC at D
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The vertex of triangle ABC are A(7,-3), B (5,3), C (3,-1)
Condider a triangle ABC as shown in figure attached below
We have to find the length of median through vertex A which is length of AD
The point D(x, y) is the midpoint of BC
So, midpoint can be calculated as follows:-
Here for midpoint of BC, we have:
The coordinates of D are (4,1)
The length of median AD = Distance Between A and D
Hence, the length of median is 5 units
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