Question

Find the distance between the points given. (0, 5) and (-5, 0) 5 5√2 10

Answer 1

`d=5√(2)`

Explanation:

Given : (0, 5) and (-5, 0)

To Find : Distance between the given points

Solution:

We will use distance formula :

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`(x_1,y_1)=(0,5)`

`(x_2,y_2)=(-5,0)`

Substitute the values in the formula .

`d=√((-5-0)^2+(0-5)^2)`

`d=√((-5)^2+(-5)^2)`

`d=√(25+25)`

`d=√(50)`

`d=5√(2)`

Hence the distance between the given points is 5√2 units

Answer 2

5√2

Explanation:

The question is on geometry

The formula for distance between two points is;

`d= √((X2-X1)^2 + (Y2-Y1)^2)`

where d is distance.

Given points;

(0,5) and (-5,0) ;

X1=0 ,X2= -5 , Y1= 5, Y2= 0

X2-X1 = -5 - 0= -5

Y2-Y1= 0-5= -5

`d= √((-5)^2 + (-5)^2)`

`d=√(25+25)`

`d=√(50)`

`d=√(2*25) =√(2) *√(25) =√(2) *5\\\\\\\\d=5√(2)`