Find the distance between the points (9,7) and (6,3).

Question

asked Dec 11, 2024 101k views

2 Answers

Jose Mhlanga · Answer 1 · 2024-12-11T10:13:37+0000

Let (x1, y1) = (9,7) and (x2, y2) = (6,3)

By distance formula,

d = (x2 - x1)² + (y2 - y1)²

d = (6 - 9)² + (3 - 7)²

d = (-3)² + (-4)²

d = 9 + 16

d = 25 units

Kiong · Answer 2 · 2024-12-15T14:38:05+0000

$\large\bf{\underline{\underline{\mathfrak{Given}:}}}$

The points (9,7) and (6,3).

$\large\bf{\underline{\underline{\mathfrak{To\:find}:}}}$

The distance between them.

$\large\bf{\underline{\underline{\mathfrak{Solution}:}}}$

We know that,

${\boxed{\small{\rm{Distance^2=(x_1-x_2)^2+(y_1-y_2)^2\:\:.....(i)}}}}$

In the given question,

$:{\Longrightarrow{\small{\rm{x_1=9}}}}$

$:{\Longrightarrow{\small{\rm{x_2=6}}}}$

$:{\Longrightarrow{\small{\rm{y_1=7}}}}$

$:{\Longrightarrow{\small{\rm{y_2=3}}}}$

Now,

By putting these values in equation (i) we get:

$:{\implies{\small{\rm{Distance^2=(9-6)^2+(7-3)^2}}}}$

$:{\implies{\small{\rm{Distance^2=(3)^2+(4)^2}}}}$

$:{\implies{\small{\rm{Distance^2=(9)+(16)}}}}$

$:{\implies{\small{\rm{Distance^2=25}}}}$

$:{\implies{\small{\rm{Distance=√(25)}}}}$

$:{\implies{\small{\rm{Distance=5\:units}}}}$