The perimeter of a triangle is 24 cm. The shortest side is one-fourth of the longest side. The other side of the triangle is three-fourths of the longest side. What is the length of the shortest side?

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Answer:

12cm

Step-by-step explanation:

Shortest side = [tex]\frac{1}{4}x[/tex]

Other side = [tex]\frac{3}{4}x[/tex]

Longest side = [tex]x[/tex]

[tex]24 = x + \frac{1}{4}x + \frac{3}{4}x\\24 = 2x\\12 = x[/tex]

Therefore, longest side is equal to 12cm.