Question

Cindy takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 5 inches long and 5 inches wide, what is the perimeter of one of the triangles(nearest tenth)?

Answer 1

Answer:

Perimeter of one of the triangle= $17.071 inch$

Step-by-step explanation:

The triangle has:

$Perpendicular= 5 inch\\Base = 5 inch \\Diagonal(Hypotenuse)=?$

Using the Pythagorean Theorem;

          $( Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\H^2= 5^2+5^2\\H^2=25+25\\H^2=50$

        $H=\sqrt{50}\\or\\H=7.071 inches$

The Perimeter of one of the triangle is =

                           $Perpendicular+Base+Hypotenuse\\5+5+7.071\\17.071inch$

This is equal for the other triangle.