Question

The endpoints of a line segment are (20,2) and (-13,4). What is the length in units of the line segment?

A) 34 units
B) 33 units
C) 26 units
D) 15 units

Answer 1

The length of the line segment between (20,2) and (-13,4) is approximately 33 units.

Step-by-step explanation:

The length of a line segment with endpoints (20, 2) and (-13, 4) can be determined by using the distance formula which is derived from the Pythagorean Theorem: d = √((x2 - x1)^2 + (y2 - y1)^2). Substituting the given coordinates into the distance formula gives us:

d = √((-13 - 20)^2 + (4 - 2)^2)

d = √((-33)^2 + (2)^2)

d = √(1089 + 4)

d = √(1093)

d = 33.06 units, which can be rounded to 33 units (option B).