Question

The vertices of ABC are A(2,3), B(-2,1) and C(-1,1)
(Coordinate Geometry)
(a) FInd the lengths of AB, BC and CA
(b) Show that ABC is a right angled triangle
(Those who give rubbish or spam or vulgar words or formula will be AUTO Banned with help of my friend AlphaServer)
You will get 50 points if answer this question correctly and carefully.
Add: This is the 3rd time i ask this question and you only give me formula without answering

Answer 1

Answer:

Let A(2,1),B(−2,3),C(4,5) be vertices of △ABC and AD be the median.

D be mid point of BC.

D=(

2

−2+4

,

2

3+5

)

⇒D=(1,4)

Now A(2,1)≡(x

2

,y

2

)andD(1,4)≡(x

1

,y

1

)

The equation of median AD is

y

2

−y

1

y−y

1

=

x

2

−x

1

x−x

1

⇒

1−4

y−4

=

2−1

x−1

⇒

−3

y−4

=

1

x−1

⇒−3x+3=y−4

⇒3x−3+y−4=0

⇒3x+y−7=0

1. only first answer