1. IN A TRIANGLE ABC EQUATION OF SIDES AB & AC ARE 2x +3y=29 &

x + 2y=16.

if the midpoint of BC is (5,6) find equation of BC ?

2.AD, BE CF ARE THE ALTITUDES OF TRI. ABC WITH A(-4,5) D(3.2,

-4.6) E(4,1) F(-1,-4).

FIND EQUATION OF SIDES OF TRI. ABC & COORDINATES OF B & C?

SIR PLZ REPLY.. TODAY 2 SEPT 2010

SAUMYA

Q.1 Let the coordinates of B be (x_1, y₁) and that of C be (x_2, y₂). Therefore the mid point of BC is 

(x_{1 +} x₂) /2 = 5 and (y_{1 +} y₂) /2 = 6 so, x₁ = 10 - x₂ & y₁ = 12 - y_2. But B(x_1, y₁) satisfies

2x + 3y = 29 & C(x_2, y₂) satisfies x + 2y = 16 therefore, 2x₁ + 3y₁ = 29__(i) & x₂ + 2y₂ = 16__(ii)

Putting the value of x₁ & y₁ in the first equation 7 then by simplifying we get, 2x₂ + 3y₂ = 27__(iii)