Question

Find the perimeter of this triangle.

Answer 1

• 15.67 units

Explanation:

Points on the graph:

• (3,6), (7,3) and (10,5)

Perimeter is the sum of side lengths

Side length is the distance between points

Distance is found by the distance formula:

• d =
  `√((x2-x1)^2 + (y2-y1)^2)`

Sides:

• 1.
  `√((7-3)^2 + (3-6)^2)= √(16+9) = 5`
• 2.
  `√((10-3)^2 + (5-6)^2) = √(49 + 1) = √(50)` = 7.07
• 3.
  `√((10-7)^2 + (5-3)^2) =√(9 + 4) =√(13)` = 3.60

Perimeter:

• P = 5 + 7.07 + 3.6 = 15.67