Question

The length of the median of the triangle whose vertices are (1,-1) , (1,3),(-5,3) when it is drawn from the vertex with coordinate (-5,3) is

Answer 1

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The length of the median of the triangle whose vertices are (1,-1) , (1,3),(-5,3) when it is drawn from the vertex with coordinate (-5,3) is

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[tex]Vertices of the triangle ABC are A(−1,3),B(1,−1) and C(5,1).

Coordinates of D(25+1+2−1+1))=(3,0)    [Since AD is median]

∴AD=(3+1)2(0−3)2=16+9=25=5

Coordinates of E(2−1+5,23+1)=(2,2)

∴BE=(1−2)2+(−1−2)2=1+9=10

Coordinates of F(21−1,2−1+3)=(0,1)

∴CF=(5−0)2+(1−1)2=25=5