Question

On a state map, a cartographer plots Triangletown at coordinates (5, 8) and The Village Square at coordinates (10, 20). How far is it from Triangletown to The Village Square?
√17
2√15
13
17

Answer 1

We find the distance as follows: √(20 - 8)² + (10 - 5)² = √144 + 25 = √169 = 13. The distance from Tirangletown to The Village Square is C. 13.
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Answer 2

The distance from Triangle town to The Village Square is 13 units.

Given that,

Triangle town at coordinates (5, 8) and

The Village Square at coordinates (10, 20)

What is the Distance between two Points?

Distance between two Points defined as the length of the line segment connecting any two points represents the distance between them. There is just one line that connects the two places. Consequently, by measuring the length of the line segment that connects the two points, the distance between them may be determined.

Consider two points —Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Distance =  √(y₂- y₁ )² + (x₂ - x₁)²

Let

x₁ = 5, y₁ = 8

x₂ = 10, y₂ = 20

We find the distance as follows:

⇒ √(y₂- y₁ )² + (x₂ - x₁)²

Substitute the values in above formula,

⇒ √(20 - 8)² + (10 - 5)²

⇒ √(144 + 25)

⇒ √169

⇒ 13 units.

Hence, the distance from Triangle town to The Village Square is 13 units.

Learn more about Distance between Two Points here:

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