Question

If $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(1,-2)$, then find

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

Answer 1

We have,

$(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(1,-2)$

Since,

$=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

$=\sqrt{(1-2{)}^2+(-2-4{)}^2}$

$=\sqrt{(-1{)}^2+(-6{)}^2}$

$=\sqrt{1+36}$

$=\sqrt{37}$

Hence, this is the answer.