Question

What is the distance between (3,4) and (-1,0)

Answer 1

Given:-

• Distance between (3,4) and (-1,0)

To find:-

• Distance between the points

Solution:-

Required Formula:-

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

❍ Let the points be A(x₁,y₁) = (3,4) and B(x₂,y₂) = (-1,0) respectively.

$\\ :\implies\sf{AB= \sqrt{ {( - 1 + 3)}^{2} + {(0 + 4)}^{2} } } \\ \\ :\implies\sf{AB= \sqrt{ {(2)}^{2} + {(4)}^{2} } } \\ \\ :\implies\sf{AB= \sqrt{4 + 16} } \\ \\ :\implies \boxed{\mathfrak{AB= \sqrt{20} \: units}} \: \blue{ \bigstar}$

Hence,

• The distance between the points (3,4) and (-1,0) is √20 units.