Question

A(2,4) and B(-5,-2) then the distance of AB will be​

Answer 1

Answer:

distance of AB = √85

Step-by-step explanation:

A(2,4)

B(-5,-2)

distance of AB

= √[(2-(-5))²+(4-(-2))²]

= √[(2+5)²+(4+2)²]

= √[(7)²+(6)²]

= √[49+36]

= √85

using formula

if A(x,y) and B(w,z) then distance of AB

= √[(x-w)²+(y-z)²]

Answer 2

Answer:

The distance of AB will be √85 units.

Step-by-step-explanation:

We have given the coordinates of two points.

We have to find the distance between the points.

A ≡ ( 2, 4 ) ≡ ( x₁, y₁ )

B ≡ ( - 5, - 2 ) ≡ ( x₂, y₂ )

Now, by distance formula,

d ( A, B ) = √[ ( x₁ - x₂ )² + ( y₁ - y₂ )² ]

⇒ d ( A, B ) = √{ [ 2 - ( - 5 ) ]² + [ 4 - ( - 2 ) ]² }

⇒ d ( A, B ) = √[ ( 2 + 5 )² + ( 4 + 2 )² ]

⇒ d ( A, B ) = √[ ( 7 )² + ( 6 )² ]

⇒ d ( A, B ) = √( 49 + 36 )

⇒ d ( A, B ) = √85

∴ The distance of AB will be √85 units.