Question

What is the length of the line?

Answer 1

`√(61)`

Option B is the correct option

Explanation:

Assuming center of co-ordinate axes at lower left corner at the line. So end points are:

( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )

Distance between two points is given by formula:

D
`= \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) }`

`= \sqrt{ {6 - 0)}^(2) + {(5 - 0)}^(2) }`

`= \sqrt{ {6}^(2) + {5}^(2) }`

`= √(36 + 25)`

`= √(61)`

Hope this helps..

Best regards!!

Answer 2

`\boxed{\sf B. \ √(61) }`

Explanation:

The line can be made into a hypotenuse of a right triangle.

Find the length of the base and the height of the right triangle.

The base (leg) is 6 units.

The height (leg) is 5 units.

Apply Pythagorean theorem.

`\sf c=√(a^2 +b^2 )`

`\sf c=√(6^2 +5^2 )`

`\sf c=√(36+25 )`

`c=√(61)`