Question

Find the distance between the points (0,3) &(4,0)

Answer 1

Answer:

From the diagram,

Distance from origin in the x−axis=3 units.

Distance from origin in the y−axis=4 units.

∴OA=3units

OB=4units

Join AB

⇒△AOB is right angled triangle.

Applying Pythagoras theorem,AB

2

=OA

2

+OB

2

⇒AB

2

=3

2

+4

2

=9+16=25

∴Distance between the points=AB=

25

=5units