Question

A(-3,1) B(4,4) C(1,-2) are vertices of a triangle ABC. Find the equation of 1)Median BD 2) Altitude AE​

Answer 1

Answer:

Let mid point BC be D, so,D=(

2

3−1

,

2

3+5

)=(1,4)

Equation of AD ⟹y−4=(x−1)(

1−2

4−(−4)

)

⟹y=−8x+12

Slope of AC⟹

−1−2

5−(−4)

=−3

Slope of line is perpendicular to AC=

−3

−1

=

3

1

So, eqaution of at\ltitude ⟹y−3=

3

1

(x−3)⟹3y=x+6