(4,-4) and (19,-24)

Question

Find the distance between two points

Answer 1

Using the x-y coordinate system we can calculate the x didtance between the points and the y distance also.  The actual distance between the points uses teh Pythagorean thearem.

 

x distance is 19-4 or 15

y distance is -4-(-24) or 20

 

sq rt of 15^2 + 20^2 is sq rt of 225 + 400 or sq rt of 625 which is 25

The distance is 25.

Answer 2

distance between two points:  √[(y₂ - y₁)² + (x₂ - x₁)²]

(4, -4) and (19, -24)

 

√[(-24 - (-4))² + (19 - 4)²]

 

√[(-20)² + 15²] ----> √625 = 25

 

so, distance is 25

Answer 3

distance between (4,-4) and (19,-24)

Use Pythagoras' Theorem

The vertical side of the triangle has length |-24-(-4)|=20

The horizontal side has length |19-4|=15

20²+15²=400+225=625=hypotenuse²

hypotenuse =25, the distance between the points