Internal division:
The coordinates of the point P is ⎜⎝⎛ + ⎟⎠⎞
⎟ +
⎠
⎜ ⎞
⎝
⎛
+
+
m n
, my^ ny
m n
mx 2 nx 1 2 1
External division:
The coordinates of the point P is ⎜⎝⎛ − ⎟⎠⎞
⎟ +
⎠
⎜ ⎞
⎝
⎛
−
+
m n
, my^ ny
m n
mx 2 nx 1 2 1
- Mid point formula
Let A (x 1 , y 1 ) and B(x 2 , y 2 ) be any two points. Then the midpoint of the line AB is
given by,
Midpoint = ⎜⎝⎛ ⎟⎠⎞
+ +
2
, y^ y
2
x 1 x 2 1 2
The idea may be explained with the provision of an embossed number line and Braille
text material.
- Area of a triangle
Let A(x 1 , y 1 ), B(x 2 , y 2 ), C(x 3 , y 3 ) be the vertices of a triangle. Then the area of the
triangle ABC is given by,
Area of the triangle ABC = 21 { x 1 (y 2 -y 3 ) +x 2 (y 3 -y 1 ) + x 3 (y 1 -y 2 )}
The idea may be explained with the provision of Braille text material.
C (x , 3 y) 3 B (x , 2 y) 2
A (x, 11 y)
