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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 |
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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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