Question

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

Answer 1

Perimeter: `color(green)(15.85)` (approx.)

Explanation:

Using the Pythagorean Theorem to determine the length of each side:
#{: (abs((7,3):(8,5)), " = ",sqrt((8-7)^2+(5-3)^2)," "~~" ",2.236), (abs((8,5):(3,9))," = ",sqrt((3-8)^2+(9-5)^2)," "~~" ",6.403), (abs((3,9):(7,3))," = ",sqrt((7-3)^2+(3-9)^2)," "~~" ",underline(7.211)), (,,"perimeter"," "~~" ",15.85) :}#