Question

Find the distance between S (6, 5) and T (-3, -4). Simplify if necessary. (Show all work)

Answer 1

Distance between two points P (x,y) and Q (a,b) is given by a formula that is ,

=> √ { ( x-a )² + ( y-b )² }

So , according to thiss ,

distance between (6,5) and (-3,-4) is

=> √ { ( 6-(-3) )² + ( 5-(-4) )² }

=> √ { (6+3)² + (5+4)² }

=> √ (81 + 81) = √162 = √ (2×81) = 9√2

so , distance between S and T is 9√2