Question

What is the length of segment A.B.

Answer 1

The distance between A and B is l(AB) = 13 units

Explanation:

Given:

let,

A ≡ ( x1, y1 ) ≡ ( 0, 12 )

B ≡ ( x2, y2 ) ≡ ( 5, 0 )

To Find:

Length AB = ?

Solution:

Distance Formula for the distance between the two points ( x1, y1 ) and ( x2, y2 ) we have,

`l(AB) = \sqrt{((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) )}`

On substituting the above values we will get,

`l(AB) = \sqrt{((5-0)^(2)+(0-12)^(2) )}\\l(AB)=\sqrt{(5^(2) +(-12)^(2) } \\l(AB)=√((25+144))\\ l(AB)=√(169) \\l(AB)=13\ unit`

Therefore the distance between A and B is l(AB) = 13 units