Math, asked by aditibhattacharyya81, 11 months ago

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​

Answers

Answered by hajrakhalid1112
0

Answer:

Solution:

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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