Find the distance between two points

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

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# 3 Answers

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.

distance between two points: √[(y

_{2 }- y_{1})^{2 }+ (x_{2 }- x_{1})^{2}](4, -4) and (19, -24)

√[(-24 - (-4))

^{2 }+ (19 - 4)^{2}]√[(-20)

^{2}+ 15^{2}] ----> √625 = 25so, distance is

**25**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

20

^{2}+15^{2}=400+225=625=hypotenuse^{2}hypotenuse =25, the distance between the points

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