Question

49. A point of x-axis which is equidistant
from points (5, 4) and (-2,3) -​

Answer 1

As there are many answers using the distance formula,

let's take a graphical approach here.

Concepts:

• Linear Function
• Isosceles Triangle

Attachments are loaded.

For additional information see below.

• The perpendicular line will divide the isosceles triangle into two separate triangles.

→ By triangle symmetry, those are symmetrical.

[by RHS symmetry]

• Why do we use (x, 0) when it is on the x-axis?

→ The line is y=0. From the vertices (x, y), we get (x, 0).

• How to find the perpendicular line?

→ We use the slope-point rule since we have both slope and point.