Question

The distance between two points (5,x) and (2,3) is 3 then find x

Answer 1

Solution:

Let the points be A (5,x) and B (2,3).

Distance between two points = 3

x = ?

Using distance formula,

Distance between two points A(x1,y1) and B(x2,y2)

=

$\sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} }$

Squaring both sides,

9 = (2-5)^2+(3-x)^2

9 = (-3)^2+(3-x)^2

9 = 9+(3-x)^2

(3-x)^2=0

3-x=0

x=3