Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle? (1 point)
3
5
Square root of 6
Square root of 13
To find the length of side AB, we can use the distance formula.
The distance formula is given by:
d = √((x2-x1)^2 + (y2-y1)^2)
Using the coordinates of points A (4,5) and B (2,2), we can plug these values into the distance formula:
d = √((2-4)^2 + (2-5)^2)
= √((-2)^2 + (-3)^2)
= √(4 + 9)
= √13
Therefore, the length of side AB is the square root of 13. So the correct answer is "Square root of 13".