1.

The sides of a triangle are in the ratio \(\frac{1}{2}\)∶ \(\frac{1}{3}\)∶ \(\frac{1}{5}\). If the perimeter of the triangle is 186 cm, then length (in cm) of the largest side is:1. 602. 903. 724. 120

Answer» Correct Answer - Option 2 : 90

Given:

Ratio of sides =  \(\frac{1}{2}\)∶ \(\frac{1}{3}\)∶ \(\frac{1}{5}\)

Perimeter = 186 cm

Concept used:

Perimeter of a triangle = a + b + c

Here, a, b and c are the sides of the triangle

Calculation:

L.C.M of 2, 3, 5 = 30

Ratio of sides = 30 × 1/2 : 30 × 1/3 : 30 × 1/5

⇒ 15 : 10 : 6

According to the question

31 → 186 cm

⇒ 1 → 6 cm

⇒ 15 → 90 cm

⇒ largest side = 90 cm

∴ Length of the largest side is 90 cm



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