Question

Look at triangle ABC.

What is the length of side AB of the triangle?

3
5
Square root of 6
Square root of 13

Answer 1

Option D is correct.

The length of AB =
`√(13)` units.

Step-by-step explanation:

Use Distance(D) formula for two points (x_1 ,y_1) and (x_2 ,y_2) is given by:

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the given figure in triangle ABC, A =(4,5) and B= (2,2),

then by using distance formula, we have;

AB =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

AB=
`√((2-4)^2+(2-5)^2)` or

AB=
`√((-2)^2+(-3)^2)`

or

AB=
`√((4+9)` =
`√(13)`

Therefore, the length of AB =
`√(13)` unit.