Question

What is the perimeter of a triangle with corners at `(3 ,9 )`, `(5 ,7 )`, and `(8 ,7 )`?

Answer 1

`color(green)(2sqrt(2)+3+3sqrt(3))`...or (using a calculator) approximately `color(green)(11.0246`

Explanation:

#{: ("Distance between "(3,9) and (5,7),color(white)("XX"),sqrt((3-5)^2+(9-7)^2),=2sqrt(2)), ("Distance between "(5,7) and (8,7),,sqrt((5-8)^2+(7-7)^2),=3), ("Distance between "(8,7) and (3,9),,sqrt((8-3)^2+(7-9)^2),=3sqrt(3)), (underline(color(white)("XXXXXXXXXXXXXXXXXXXXXX")),,,underline(color(white)("XXXXXX"))), ("Perimeter",,,2sqrt(2)+3+3sqrt(3)) :}#