Question

3. Find the distance between the points A= (a,0), B= (0, a)​

Answer 1

Step-by-step explanation:

AB = √(a-0)^2 + (0-a)^2

= √a2 + a2

= √2a2

= a√2

Answer 2

Step-by-step explanation:

distance between (x,y) and (x1,y1)=

$\sqrt{ {(x1 - x)}^{2} + {(y1 - y)}^{2} }$

here. (x,y)=(a,0)

(x1,y1)=(o,a)

so by formula,

distance=

$\sqrt{ {(0 - a)}^{2} + {(a - 0)}^{2} }$

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

= √2a2

=a√2

distance is a√2