Math, asked by ashika19589, 1 month ago

Find the distance between the points (2 , 10) and (8 , 4).​

Answers

Answered by Anonymous
1

Answer:

6√2 units

Step-by-step explanation:

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Answered by ItzWhiteStorm
53

✬ The distance between the points (2,10) and (8,4) is √72 units.

Step-by-step explanation:

Given: The points are (2,10) and (8,4)

To find: Distance between the points

Required Formula:

  • Distance between the points = √(x₂ - x₁)² + (y₂ - y₁)²

Let the points be P(x₁,y₁) = (2,10) and Q(x₂,y₂) = (8,4).

Let's do it,

_________________________________

Applying the values,

\\ \dashrightarrow\sf{PQ= \sqrt{ {(8 - 2)}^{2} +   {(4 - 10)}^{2} } } \\ \\ \dashrightarrow\sf{PQ= \sqrt{ {(6)}^{2}  +   {( - 6)}^{2} } } \\ \\ \dashrightarrow\sf{PQ= \sqrt{36 + 36} } \\ \\ \dashrightarrow \underline{ \boxed{\mathfrak{PQ= \sqrt{72} \: units}}} \:  \red{ \bigstar} \\  \\

  • Hence,The distance between the points (2,10) and (8,4) is √72 units.
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