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:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of points A and B are (4, 5) and (2, 1) respectively.
Plugging these values into the formula, we get:
d = sqrt((2 - 4)^2 + (1 - 5)^2)
= sqrt((-2)^2 + (-4)^2)
= sqrt(4 + 16)
= sqrt(20)
Therefore, the length of side AB is the square root of 20, which is the answer "Square root of 20".