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In triangle FAR,the coordinates of the vertices are F(10,5) A(8,0) R(2,5). Find the lengths of the 3 medians of a tiangle.

Sagot :

Media of a triangle is a segment drawn from a vertex to the midpoint of the opposite side.

The triangle has three medians.

To solve for the medians
1)  Find the midpoints of each side of ΔFAR.
2)  Solve for the distance/length of each median from a vertex to the midpoint.

The lengths of the 3 medians of ΔFAR are:  

[tex] \frac{5 \sqrt{5} }{2} [/tex]

[tex] \sqrt{29} [/tex]

[tex] \frac{ \sqrt{221} }{2} [/tex]

Please see attached solution.
View image Аноним
View image Аноним