Question

The perimeter of a triangle field is 144 m and ratio
of the sides is 3:4:5. Then the area of the field is

Answer 1

Answer:

Hii mate your solution ✌✌

Step-by-step explanation:

$perimeter \: of \: triangle \: = sum \: of \: all \: side \\ \\ 3x + 4x + 5x = 144m \\ 12x = 144 \\ x = 12m \\ now \: area \: of \: triangl e \: = ( {side)}^{3} \\ ( {12)}^{3} \\ \\ 1728 {m}^{2}$

Answer 2

Perimeter - 144m

Sides of triangle - 3x, 4x, 5x

Area -?

From the given data,

3x + 4x + 5x = 144

12x = 144

x = 12m

Sides of triangle - 36m,48m,60m

All the 3 sides of triangle are different.

Therefore,it's a scalene triangle.

So, using herons formula,

s = a+b+c/2

= 36+48+60

= 144/2 = 72m

$= \sqrt{72(72 - 36)(72 - 48)(72 - 60)} \\ = \sqrt{72 \times 36 \times 24 \times 12} \\ = \sqrt{12 \times 6 \times 12 \times 2 \times 12 \times 3 \times 12} \\ = 144 \sqrt{ {3}^{2} \times {2}^{2} } \\ = 144 \times 3 \times 2 \\ = 864 {m}^{2}$

__________Hope it helps you__________