Question

Find the distance between the following pairs of points(i) (7, 8) and (−2, 3) (ii) (−8, 6) and (2, 0)

Answer 1

Answer:

this might be your answer

Answer 2

Answer:

Use distance formula and find answer.

case(i)= √202 &  case(ii) √136

Step-by-step explanation:

Given:

• Points $\mathrm{A}(7,8) and \mathrm{B}(-2,-3) .$

To find the distance between two point $\mathrm{A}\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) and \mathrm{B}\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right) ,$

Distance formula:

$A B=\sqrt{\left(x_{1}-x_{2}\right)^{2}+\left(y_{1}-y_{2}\right)^{2}} .$

Then,

$A B=\sqrt{(7-(-2))^{2}+(8-(-3))^{2}} \mathrm{AB}=\sqrt{(81+121)} \mathrm{AB}=\sqrt{(202)}$

Case ii

Given:

• Points $\mathrm{A}(-8,6) and \mathrm{B}(2,0) .$

Then,

$A B=\sqrt{(-8-(2))^{2}+(6-(0))^{2}}\\\mathrm{AB}=\sqrt{(100+36)}\\\mathrm{AB}=\sqrt{(136)}$