distance between two points

Question

The points (2, 4) and (7,6) are joined with an oblique line as shown. Complete the following to find the distance between them. The coordinates of the third vertex are ( __, 4).

The lengths of the sides are:

Vertical= _ - 4 = __ units

Horizontal = 7 - _ = __ units

By pythagoras' theorem:

c² = a² + b²

c² = __ + 2² = __

c = √__ ≈ __ cm (2 decimal places)

Distance between the points is __ units (2 decimal places).

Answer 1

distance between them = d

d^2 = (y2-y1)^2 + (x^2-x1)^2

= (6-4)^2 + (7-2)^2 = 2^2 +5^2 = 4+25 = 29

d = sqr29 = 5.39

rounded to 2 decimal places