Question

PLEASE HELP 8th GRADE MATH QUESTION OVER HERE!!!

Answer 1

The side AB measures option 2.
`√(20)}` units long.

Explanation:

Step 1:

The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).

The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.

To calculate the distance between two points, we use the formula
`d=\sqrt{\left(x_(2)-x_(1)\right)^(2)+\left(y_(2)-y_(1)\right)^(2)}.`

where (
`x_(1),y_(1)`) are the coordinates of the first point and (
`x_(2),y_(2)`) are the coordinates of the second point.

Step 2:

For A (4, 5) and B (2, 1), (
`x_(1),y_(1)`) = (4, 5) and (
`x_(2),y_(2)`) = (2, 1). Substituting these values in the distance formula, we get

`d=\sqrt{\left(2-4\right)^(2)+\left(1-5}\right)^(2)} = \sqrt{\left(2\right)^(2)+\left(4}\right)^(2)}=√(20)}.`

So the side AB measures
`√(20)}` units long which is the second option.