The sides of a triangle having area 7776 sq. cm are in the

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The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is

Using Rule 1,
Let the sides of triangle be 3x, 4x and 5x units.
Here, (3x)² + (4x)² = (5x)²
Hence, it is a right angled triangle.

Area of ∆ABC =	1	× AB × BC
	2

⇒	1	× 3x × 4x = 7776
	2

⇒ 6x² = 7776

⇒ x² =	7776	1296
	6

⇒ x = 1296 = 36 cm.
∴ Perimeter of triangle = 3x + 4x + 5x = 12x = 12 × 36 = 432 cm.