# Thread: Somebody plz give me the steps of construction for this...

1. ## Somebody plz give me the steps of construction for this...

Draw a circle of radius 4cm and mark two chords AB and AC of the circle of length 5cm and 6cm respectively. Construct the locus of the points inside the circle, that are equidistant from the points A,B and C.

2. Hello, snigdha!

Draw a circle of radius 4 cm and mark two chords $AB$ and $AC$
. . of lengths 5 cm and 6 cm, respectively.
Construct the locus of the points that are equidistant from the points $A,B, C.$
Code:
              * * *      B
*           ∆
*         o     *
*      o          *
o
A ∆                   *
*    o              *
*         o         *
o
*                 ∆
*               *   C
*           *
* * *

Construct the perpendicular bisector of $AB.$
Construct the perpendicular bisector of $AC.$
They will intersect at point $P$, the center.

Point $P$ is the desired locus.

Think about it . . .
We want all points equidistant from three given points. $A,B,C.$
Hence, we want the circumcenter of $\Delta ABC.$