The sides of a triangle are in the ratio of \(\displaystyle\frac{1}{4}:\frac{1}{5}:\frac{1}{6}\). If the perimeter of the triangle is 37 cm, then find the length of the greatest side of the triangle?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 15 cm
A ratio of fractions is turned into whole numbers by multiplying every term by the LCM of the denominators; the ratio itself does not change.
LCM of 4, 5 and 6 is 60: \(\frac{1}{4}:\frac{1}{5}:\frac{1}{6}=15:12:10\)
Total parts \(=15+12+10=37\), and the perimeter is 37 cm, so one part \(=1\) cm
Greatest side \(=15\times1=15\) cm