What is the exact distance and the approximate distance between these points (-2.6, -1.3) and (-7.7, -4.3)?  

Asked on by monique06

1 Answer | Add Yours

llltkl's profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted on

The distance between two points `P (x_1,y_1) ` and `Q (x_2,y_2)` in any plane is given by

`PQ = sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

Thereofore, the exact distance between the points (-2.6, -1.3) and (-7.7, -4.3) is

d = `sqrt((-7.7-(-2.6))^2+(-4.3-(-1.3))^2)`

= `sqrt((-7.7+2.6)^2+(-4.3+1.3))^2`

= `sqrt((-5.1)^2+(-3.0))^2`

= `sqrt(26.01+9)`

= `sqrt(35.01)`


Therefore, the exact distance between the two given points is 5.916925 units and the approximate distance is about 5.9 units (approximation upto one decimal place).


We’ve answered 319,819 questions. We can answer yours, too.

Ask a question