Question

What is the distance between (4, 7) and (2,2)?

Answer 1

let's see what to do buddy...

To find the distance between two points, we have the following relation, which is derived from the Pythagorean relation, and we do not need to prove it :

a = ( 2 , 2 ) and b = ( 4 , 7 )

`d = \sqrt{ ( \: {y(b) - y(a)} \: )^(2) + ( \: {x(b) - x(a)} \: )^(2) } \\`

Now just put the coordinates in the equation :

`d = \sqrt{ ({7 - 2})^(2) + ({4 - 2})^(2) } \\ \: \: \: d = \sqrt{ {5}^(2) + {2}^(2) } \\ d = √(25 + 4) \\ d = √(29)`

So the distance between them equal :

`√(29)`

And we're done buddy.

Thanks for watching good luck ♥️♥️♥️♥️♥️.