Question

the distance between the points ( a + b , a - b ) and ( a - b , - a - b ) is​

Answer 1

Answer:

Distance between the two points will be:

$\sqrt{ {(a + b - (a - b))}^{2} + (a - b - ( - a - b)) ^{2} }$

Which is equal to

$\sqrt{ {(2b)}^{2} + (2a) ^{2} }$

$\sqrt{ 4{b}^{2} + 4 {a}^{2} }$

$\sqrt{ 4({b}^{2} + {a}^{2}) }$

$2\sqrt{ {b}^{2} + {a}^{2} }$

The distance between the points is:

$2\sqrt{ {b}^{2} + {a}^{2} }$