The perimeter of the scalene triangle is 60 cm. the length of the longest side is 4 times that of the shortest side.

which statements about the possible measures of the sides are reasonable? check all that apply.

the value of x can equal 40.
the longest side can equal 30 cm.
the shortest side can equal 7 cm.
the value of x can equal 25.
the shortest side can equal 5.

Only option C: The shortest side can equal 7 cm.

Step-by-step explanation:

Let the length of the shortest side be x cm, then the length of the longest side is 4x cm. Let the length of the middle side be y cm. Note that

The perimeter is

A. The value x cannot be 40 cm, because then y is negative

B. If the longest side is 30 cm long, then

But

This means that such triangle does not exist

C. If x=7 cm, then 4x=28 cm,

Since,

such triangle exists and this option is possible

D. If x=25 cm, then y is negative

E. If x=5 cm, then 4x=20 cm and

But this triangle does not exist, because