Question

Find the distance if A(2,3) B(4,5)​

Answer 1

Distance = 2√2 units

Explanation:

Distance = ?

Solution:

Use distance's formulae:

`\rm \: D =√((x_2 -x_1)^2 +(y_2-y_1)^2)`

• 
  `\rm (x_2,x_1) = (4,2)`
• 
  `\rm (y_2,y_1) = (5,3)`

Substituting them,we obtain

• 
  `\rm \: D = \sqrt{(4 - 2) {}^(2) + (5 - 3) {}^(2) }`
• 
  `\rm D = \sqrt{2 {}^(2) + 2 {}^(2) }`
• 
  `\rm D = √(4 + 4)`
• 
  `\rm D = √(8)`
• 
  `\boxed{\rm D =2 √(2) \; units}`

Hence,the distance is 2√2 units.

Answer 2

Hii!

=====================================

`\leadsto\mid\boldsymbol{-Answer-}\mid\gets`

Distance =

`\leadsto\mid\boldsymbol{-Explanation-}\mid\gets`

Use the distance formula, which is.

`\sf d=√((x2-x1)^2+(y2-y1)^2)`

Plug in the values.

`\sf d=\sqrt{(4-2)^2 +(5-3)^2`

Simplify.

`\sf d=√(2^2+2^2)`

Simplify.

`\sf d=√(8)`.

Decimal Form. 2.828427...

Great job!

--

Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}`

--