# Find The Perimeter of The Triangle ? If

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

- 400 cm
- 412 cm
- 424 cm
- 432 cm

**Answer: (4) 432 cm**

**Explanation:-**

**Given-**

The ratio of the sides = 3 : 4 : 5

Let the sides of the triangle be = 3 X, 4 X & 5 X.

Then, the height = 4 X & base = 3 X

The area of a triangle = 7776 sq. cm

**Formula-**

**The area of the triangle = height x base / 2**

Then, 3 X x 4 X / 2 = 7776 (Given in the question)

12 X^{2} / 2= 7776

6 X^{2} = 7776

X^{2} = 7776/6

X^{2} = 1296

Square root of both side,

X = 36

Then, the sides of the triangle are 3 X = 3 x 36 = 108 cm, 4 X = 4 x 36 = 144 cm & 5 X = 5 x 36 = 180 cm

**Formula-**

**The perimeter of the triangle = Sum of their sides**

Then, the perimeter of the triangle = 108 + 144 + 180

= 432 cm.

Hence, the answer is (4) 432 cm.