Question

The vertices of a triangle are the points (2, 1), (-2, 3
and (4, 5). Find the equations of its sides.​

Answer 1

Answer:

The vertices of △PQR are P(2,1),Q(−2,3) and R(4,5). Find equation of the median through the vertex R.

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ANSWER

In △PQR,

P=(2,1)

Q=(−2,3)

R=(4,5)

Mid-point of PQ=(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2−2

,

2

1+3

)=(0,2)

Equation of the median through the vertex R is the equation of the line passing through the points (0,2),(4,5)

Since, two points form of the line is y−y

1

=(

x

2

−x

1

y

2

−y

1

)(x−x

1

)

∴ Equation of the median is

y−2=(

4−0

5−2

)(x−0)

⟹4(y−2)=3x

⟹4y−8=3x

3x−4y+8=0 (Ans