Question

find the distance between following pair of points A(3,4) B(6,5)​

Answer 1

✫ The distance between the points (3,4) and (6,5) is √10 units. ✫

Step-by-step explanation:

As we know that,

• AB = √((x₂-x₁)² + (y₂-y₁)²)

Where,

• x₁ = 3, y₁ = 4
• x₂ = 6,y₂ = 5

Then,

$\\ :\implies\sf{AB = \sqrt{{(6-3)}^{2}+{(5-4)}^{2}}}\\ \\ \\ :\implies\sf{AB = \sqrt{{(3)}^{2}+{(1)}^{2}}}\\ \\ \\ :\implies\sf{AB = \sqrt{9+1}}\\ \\ \\ :\implies\underline{\boxed{\frak{AB = \sqrt{10}}}}\;\blue{\bigstar}$

$\;\;\;\;\;\bullet\;\;\sf{\therefore\;Hence,the\;distance\;between\;two\;points\;is\;\sqrt{10}\;units.}$