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

  1. 400 cm
  2. 412 cm
  3. 424 cm
  4. 432 cm
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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1 Answer(s)
Best answer

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 X2 / 2= 7776
6 X2 = 7776
X2 = 7776/6
X2 = 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.

 

Anurag Mishra Professor Answered on 13th August 2015.
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