Question

What is the distance between points A(1,3) and B(-7,5)

Answer 1

>>> 2√17 units

Explanation:

Given Points ,

• A( 1 , 3 )

• B( -7 , 5 )

We have to find ,

• Distance between these points

Solution :

For finding distance between these points , We need to know about distance formula that is ,

`\: \: \: \: \: \: \: \: \: \boxed{ \sf{ d = \sqrt{(x_2 - x_1) {}^(2) + (y_2 - y_1) {}^(2) } }}`

Where ,

• 
  `\sf{x_1 = 1} \: , \: \sf{x_2 = - 7}`

• 
  `\sf{y_1 = 3} \: , \: \sf{y_2 = 5}`

Substituting values in the formula :

`\dashrightarrow \: \: \: \sf{ \sqrt{( - 7 - 1) {}^(2) + (5- 3) {}^(2) }}`

Simplifying ,

`\dashrightarrow \: \: \: \sf{ \sqrt{( - 8) {}^(2) + (2) {}^(2) }}`

`\dashrightarrow \: \: \: \sf{ √(64 + 4 )}`

`\dashrightarrow \: \: \: \sf{ √( 68 )}`

We get ,

`\dashrightarrow \: \: \: \underline{ \boxed{ \bold{ \sf{ 2√( 17 ) \: units}}}} \: \: \: \bigstar`

• Therefore, distance between both the points is of "2√17" units.

Hope, it'll help you!! :)