Given:
The point
divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.
Furthest to the left is a Hexagon. Middle is an Octagon. Furthest to the right is a Decagon.
Answer: 8
The radical sign applied to a real number gives the principal square root, which is the positive square root in the case of a positive number.
The answer would be -1/6 or -0.166667
I always found it easiest to draw out the picture