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, 1, and C at ordered pair 4, 1.
What is the length of side AB of the triangle? (1 point)
2
Square root of 20
6
Square root of 38
To find the length of side AB, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).
In this case, point A is (4, 5) and point B is (2, 1). Plugging the coordinates into the distance formula, we get:
Length_AB = sqrt((2 - 4)^2 + (1 - 5)^2)
= sqrt((-2)^2 + (-4)^2)
= sqrt(4 + 16)
= sqrt(20)
So, the length of side AB of the triangle is the square root of 20. Answer: Square root of 20.