Question

Patrick takes a sheet of paper and cuts from one corner to the
opposite corner, making two triangles. If the piece of paper is 22
inches long and 23 inches wide, what is the length of the cut (nearest
tenth)?
cut
23 in
22 in​

Answer 1

Answer:

length of the cut : $H=31.83 inch$

Step-by-step explanation:

The cut is forming a triangle that have:

Base(B)= 22 inch

Perpendicular height(P)= 23 inch

Hypotenuse(H)= ?

Using Pythagorean Theorem:

      $H^2=P^2+B^2\\H^2= (23)^2+(22)^2\\H^2= 529+484\\H^2=1013$

     $H=\sqrt{1013}$

           $H=31.83 inch$

The length of the cut/hypotenuse is $H=31.83 inch$