The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 91 cm. Find the lengths of the sides of the triangle.

Question

KnowledgeBoat · Accepted Answer

Given, Side1 : Side2 : Side3 = = = 6 : 4 : 3. Let Side1 = 6a and Side2 = 4a and Side3 = 3a Sum of sides of triangle = 6a + 4a + 3a = 13a Given, Perimeter of triangle = 91 cm ⇒ 13a = 91 ⇒ a = ⇒ a = 7. Therefore, Length of Side1 = 6a = 6(7) = 42 cm Length of Side2 = 4a = 4(7) = 28 cm Length of Side3 = 3a = 3(7) = 21 cm Hence, the lengths of the sides are 42 cm, 28 cm and 21 cm.

Mathematics

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 91 cm. Find the lengths of the sides of the triangle.

Ratio Proportion

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