Mathematics: 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.

= is going to be your answers i believe...

The perimeter of the scalene triangle is 60 cm. the

pinkpearl2022

13.01.2022

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

$x+y+4x=60\\ \\5x+y=60$

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

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

$4x=30\\ \\x=7.5\\ \\y=60-5\cdot 7.5=22.5$

But

$x+y=7.5+22.5=30\ cm$

This means that such triangle does not exist

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

$y=60-5\cdot 7=25\ cm$

Since,

$7+25=3228\\ \\7+28=3525\\ \\25+28=537,$

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

$y=60-5\cdot 5=35\ cm$

But this triangle does not exist, because 5+20

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