Question

find the distance between two points
A(-1,3) and (4,5)​

Answer 1

Use distance formula : $\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

$\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

$=\sf{\sqrt{\left(4-(-1)\right)^2+\left(5-3\right)^2}}$

$=\sf{\sqrt{\left(4+1\right)^2+\left(2\right)^2}}$

$=\sf{\sqrt{\left(5\right)^2+\left(2\right)^2}}$

$=\sf{\sqrt{25+4}}$

$=\sf{\sqrt{29}}$