In a rectangular axis system, what is approximate

In a rectangular axis system, what is approximate distance between the following  points: C(1,2.5) and D(6.5,5.5) ?

(a) 5.5.
(b) 7.2.
(c) 6.3.
(d) 4.1.
(e) 3.8.

The best answer is C.

First, draw a rectangular axis system and mark the two points.
The easiest way to find the distance between them is to draw a triangle, where the line CD is the hypotenuse. You can see that the length of one side of the triangle is (5.5 - 2.5 = 3) and the other side is (6.5 – 1 = 5.5). The length of the line CD is received with the help Of the Pythagoras principle:  .



In a rectangular axis system, what is the distance between the following
points: A(24.4,30) and B(34.4,42.49) ?

(a) 5.
(b) 7.
(c) 8.
(d) 12.
(e) 16.

The best answer is A.
First, draw a rectangular axis system and mark the two points.
The easiest way to find the distance between them is to draw a triangle, where the line AB is the hypotenuse. You can see that the length of one side of the triangle is (34.4 – 24.4 = 10) and the other side is (42.49 – 30 = 12.49). The length of the line AB is received with the help
Of the Pythagoras principle:  .