Question

Show that the distance between the pair of points (a + b, b + c) and (a -b, c – b) is 2√2b units. pls say it quick

Answer 1

Step-by-step explanation:

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

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

$\sqrt{8} b = 2 \sqrt{2} b$

$2 \sqrt{2} b = 2 \sqrt{2} b$

its proved