Respuesta :
The line are connected by segment 13 units
What is distance formula?
The distance between two points P( x, y) and Q (a, b)is given by
Distance= √ ( x- a)² + (y- b)²
The following are the important points related to the distance formula.
- The distance calculated through the distance formula always takes a positive sign.
- The distance calculated is the shortest linear distance between the two points.
- The distance formula gives the same answer for the points located in any of the four quadrants.
Example:
Find the distance between the points (-2, 3), and (5, 6).
The given two points are
(x1,y1) = (-2, 3), and
(x2,y2) = (5, 6)
Using the Euclidean distance formula,
Distance = √(x2−x1)^2+(y2−y1)^2
= √(5+2)2+(3)2
= √72+32
= √49+9
= √58
Given: (0, 120 and ( 5, 0)
Using distance formula
d²=√ (5-0)² + (0- 12) ²
d²= √25 + 144
d²= √169
d= 13
Learn more about this concept here:
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