Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide.
She measured the diagonal length across the frame as 20 inches. Which best explains why the frame cannot actually be
rectangular?

Respuesta :

Since the diagonal length of the frame is given to be 20 inches  which  is longer than the actual diagonal length of the rectangle  17.2. so the frame  can't be a rectangle

Explanation:

We Know that the ,

The length of the frame is =14 inches

The width  of the Frame is =10 inches

The diagonal  length of the frame is =20 inches

The formula for the  diagonal of a rectangle is

==>√(ω^2+l^2 )

==>√(10^2+14^2

==>√(100+196)

==>17.2

So ideally the diagonal length of the rectangular frame is 17.2 inches.

Since the diagonal length of the frame is given to be 20" which  is longer than 17.2 so it can't be a rectangle