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

Perimeter of one of the triangle=
`17.071 inch`

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=√(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.