Question

Find the distance between the points (2,7) and (5,10)​

Answer 1

Step-by-step explanation:

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Answer 2

✬ The distance between the points is √18 units ✬

Step-by-step explanation:

Given points: Distance between the points (2,7) and (5,10)

To find: Distance between the points

Required Formula:

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

Let the points be C(x₁,y₁) = (2,7) and D(x₂,y₂) = (5,10)

Let's do it,

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Putting the values,

$\\ :\implies\sf{CD= \sqrt{{(5 - 2)}^{2} + {(10 - 7)}^{2}}} \\ \\ :\implies\sf{CD= \sqrt{{(3)}^{2} + {(3)}^{2}}} \\ \\ :\implies\sf{CD= \sqrt{9 + 9}} \\ \\ :\implies \underline{ \boxed{\frak{CD= \sqrt{18} \: units}}} \: \pink{ \bigstar}$

• Hence,The distance between the points is √18 units.