Question

What is the distance between point l (3,5) and point m (9,−7)?

Answer 1

√((-7-5)²+(9-3)²)=√(12²+6²)=√180=√(9*4*5)=6√5=13.42

Answer 2

◆ CO-ORDINATE GEOMETRY ◆


`We \: are \: given \: the \: co - ordinates \: \: , \\ \\ l(3,5) \: \: \: \: \: \: and \: \: \: \: \: m(9, - 7) \\ \\ \\ By \: distance \: formula \: \: , \: \\ distance \: between \: two \: points \: \\ \\ (x1,y1) \: \: \: and \: \: \: (x2,y2) \: \: \: is \: given \: by \: , \\ \\ \sqrt{ {(x2 - x1)}^(2) + ( {y2 - y1)}^(2) } \\ \\ here \: , \: \: \\ (x1,y1) = (3,5) \: \: and \: \\ (x2,y2) =(9, - 7) \\ \\ Distance \: lm \: = \sqrt{ {(9 - 3)}^(2) + ( { - 7 - 5)}^(2) } \\ \\ lm = \sqrt{ {6}^(2) + ( { - 12)}^(2) } \\ \\ lm = √(36 + 144) \\ \\ lm \: = √(180) = 6 √(5) \: \: \: \: \: ans.`