Answer:
The perimeter of one triangle is 17.1 inches
Step-by-step explanation:
The piece of paper is 5 inches long and 5 inches wide
∵ The length and the width of the paper are equal
∴ The piece of paper in the shape of a square with side length
5 inches
∵ Cindy cuts the paper from one corner to the opposite corner
- The diagonal of a square is the line drawn from one vertex
to the opposite vertex
∴ She cuts the paper along the diagonal of the square
The formula of the length of the diagonal of a square is [tex]d=s\sqrt{2}[/tex] , where s is the length of the side of the square
∵ The side of the paper = 5 inches
- By using the formula of the diagonal above
∴ The length of the diagonal = [tex]5\sqrt{2}[/tex] inches
∵ The sides of each triangles are s , s , d
- The perimeter of a triangle is the sum of the lengths of
the 3 sides
∴ The perimeter of each triangle = 5 + 5 + [tex]5\sqrt{2}[/tex]
∴ The perimeter of each triangle = 17.07106781
- Round it to the nearest tenth
∴ The perimeter of each triangle = 17.1 inches
The perimeter of one triangle is 17.1 inches
