Question

Find the distance if A(2,3) B(4,5)​

Answer 1

Answer:

Distance = 2√2 units

Step-by-step explanation:

Distance = ?

Solution:

Use distance's formulae:

$\rm \: D =\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}$

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

Substituting them,we obtain

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

Hence,the distance is 2√2 units.

Answer 2

Hii!

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Distance =

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Use the distance formula, which is.

$\sf d=\sqrt{(x2-x1)^2+(y2-y1)^2}$

Plug in the values.

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

Simplify.

$\sf d=\sqrt{2^2+2^2}$

Simplify.

$\sf d=\sqrt{8}$.

Decimal Form. 2.828427...

Great job!

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Hope that this helped! Best wishes.

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