Question

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

2a1

Answer 1

A) √2a^2

Explanation:

I just took the quiz on edge

Answer 2

`√(2) a`

Explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression
`√((x1-x2)^2+(y1-y2)^2)`

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

`distance = √((x1-x2)^2+(y1-y2)^2)\\=>distance = √((0-a)^2+(a-0)^2)\\=>distance = √((a)^2+(a)^2)\\\\=>distance = √(2a^2)\\=>distance = √(2) a`

Thus , expression
`√(2) a` gives the distance between point (0, a) and point (a, 0) on a coordinate grid.