The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. Find the perimeter of the triangle.

Question

KnowledgeBoat · Accepted Answer

Given, Area = 216 cm2 Sides = 3 : 4 : 5 Let the sides of a triangle be 3x, 4x and 5x. Since 3 : 4 : 5 is a pythagorean triplet (32 + 42 = 52) Thus, the triangle is a right angled triangle, and sides containing right angle are 3x cm and 4x cm. ∴ Sides of a triangle are ⇒ 3x = 3 × 6 = 18 cm ⇒ 4x = 4 × 6 = 24 cm ⇒ 5x = 5 × 6 = 30 cm Perimeter = Sum of all sides of a triangle = 18 + 24 + 30 = 72 cm. Hence, perimeter of the triangle = 72 cm.

Mathematics

The area of a triangle is 216 cm² and its sides are in the ratio 3 : 4 : 5. Find the perimeter of the triangle.

Mensuration

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