Question

What is the perimeter of a triangle with corners at `(7 ,3 )`, `(4 ,5 )`, and `(3 ,1 )`?

Answer 1

While not difficult, this question is tedious and involves the same formula 3 times. Perimeter = `sqrt13 + sqrt20 + sqrt17 = 12.2`

Explanation:

length of a line = distance between 2 points = `sqrt((x_2 - x_1)^2 + (y_2 -y_1)^2)`

`(7, 3) and (4, 5) rArr` `sqrt((7 - 4)^2 + (3 - 5)^2) = sqrt(9+4)`

`(7, 3) and (3, 1) rArr` `sqrt((7 - 3)^2 + (3 - 1)^2) = sqrt(16+4)`

`(4, 5) and (3, 1) rArr` `sqrt((4 - 3)^2 + (5 - 1)^2) = sqrt(1 + 16)`

Perimeter = `sqrt13 + sqrt20 + sqrt17 = 12.2`