The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) is

Question

Philoid · Accepted Answer

The perimeter is the addition of lengths of all sides.

Let the points be A = (0, 4), B = (0, 0) and C = (3, 0).

The distance between any two points P₁(x₁, y₁) and P₂(x₂, y₂) is given by the following formula:

⇒

⇒ Distance AB =

=

= 4

⇒ Distance BC =

=

= 3

⇒ Distance AC =

= √(9 + 16)

= √25

= 5

∴ Perimeter = 3 + 4 + 5

= 12

Therefore the perimeter of triangle is 12.