Question

The perimeter of triangular field is 270 metre
and it's sides are in the ratio 25 : 17 : 12. Find its area .
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Answer 1

Gɪᴠєη :

◉ Perimeter of the triangular field = 270 m

◉ It's sides are in the ratio 25 : 17 : 12

Tσ ƒíη∂ :

◈ Area of the triangular field

Sσlutiση :

Let,

↣ The sides be 25m, 17m, 12m

↣ Perimeter of the field = 270m (Given)

⇒ 25m + 17m + 12m = 270

⇒ 54m = 270

⇒ m = 270/54

⇒ m = 5

☢ The three sides of the field :

↠ 25m = 25 × 5 = 125m

↠ 17m = 17 × 5 = 85m

↠ 12m = 12 × 5 = 60m

☯ Finding the semi perimeter :

↦ Semi perimeter = Perimeter/2

↦ Semi perimeter = 270/2

↦ Semi perimeter = 135

⚘ We Know That,

↬ ᐃ Area = √s(s-a)(s-b)(s-c)

↬ ᐃArea = √135(135-125)(135-85)(135-60)

↬ ᐃ Area = √135×10×50×75

↬ ᐃ Area = √5,062,500

↬ ᐃ Area = 2250

✒ Hence, Area of triangular field = 2250 m