Logan takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 13 inches long and the width of the fabric is 5 inches. What is the fabric's length?

length of the rectangular fabric =

Step-by-step explanation:

The diagonal of the rectangle makes two congruent triangles.

Considering the triangle formed by the diagonal.

As diagonal becomes hypotenuse of the triangle

Diagonal= 10 inch

Width= base of the rectangular piece= 5 inches

Perpendicular of the triangle= length of the rectangular fabric(L)

Using Pythagorean Theorem:

So, the length of the rectangular fabric is