Question

A triangle has coordinate points at A(-1, 3) B(3, 6) What is distance between of A

A) 4
B) 5
C) 6
D) 7

Answer 1

The correct answer to the distance between the two points A(-1, 3) and B(3, 6) is B) 5, which is calculated using the distance formula √((x_2 - x_1)^2 + (y_2 - y_1)^2).

Step-by-step explanation:

To calculate the distance between two points in the Cartesian coordinate system, we use the distance formula which is derived from the Pythagorean theorem. The distance formula is:

d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

For the points A(-1, 3) and B(3, 6), we plug in their coordinates into the formula:

d = √((3 - (-1))^2 + (6 - 3)^2) = √((4)^2 + (3)^2) = √(16 + 9) = √25

The distance, d, equals 5. Therefore, the correct answer is B) 5.