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

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0