Question

What is the length of a line segment whose endpoints have coordinates (5,3) and (1,6)? 1. 5 2. 25 3. 4?

Answer 1

(5,3) (1,6)
$d = \sqrt{{(5 - 1)}^{2}+{(3 - 6)}^{2}} = \\ \sqrt{ {4}^{2} + {( - 3)}^{2} } = \\ \sqrt{16 + 9} = \\ \sqrt{25} = 5$

the correct answer is
1) 5

Answer 2

The length of the line segment whose endpoints have coordinates (5,3) and (1,6) is 5 units.

What is the length of a line segment with given endpoints?

The length of the line segment can be measured with the given endpoints.

Let, the endpoints of a line segment are (x, y) and (x, y).

Therefore, the length of the line segment is:

√[(x₂ - x₁)² + (y₂ - y₁)²]

Given, the endpoints of a line segment have coordinates (5,3) and (1,6).

Therefore, the length of the line segment

= √[(1 - 5)² + (6 - 3)²] units

= √[16 + 9] units

= √25 units

= 5 units

Therefore, the length of the line segment is 5 units.

Learn more about  the length of a line segment here: https://brainly.com/question/20457021

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