Question

What is the approximate length of a line segment connecting points A and B?

Point A: 3, 6
Point B: 2, -4
Point D: -2, 6

A. 10 units
B. 15 units
C. 13 units
D. 11 units

Answer 1

A.
`\displaystyle 10\:units`

Explanation:

Use the Distance Formula:

`\displaystyle √([-x_1 + x_2]^2 + [-y_1 + y_2]^2) = D \\ \\ √([-3 + 2]^2 + [-6 - 4]^2) = √([-1]^2 + [-10]^2) = √(1 + 100) = √(101) ≈ 10,04987562 ≈ 10`

Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

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