Question

OPT MATHS:

Find the equation of the altitude PQ drawn from the vertex P to QR in triangle PQR with P(2.3), Q(-4,1) and R(2,0).

Answer 1

Answer:

In △PQR,

P=(2,1)

Q=(−2,3)

R=(4,5)

Mid-point of PQ=( 2x1 +x2 ,2y1+y2)=

( 22−2 ,21+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 1y2−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)