Math, asked by bijaya8938, 11 months ago

The perimeter of triangle field is 450m and its sides are in ratio 13 : 12 :15 find the area

Answers

Answered by gnanadeepthip
1

Answer:.

Step-by-step explanation:

Answered by Anonymous
5

Step-by-step explanation:

☆Solution☆

Given =》

Perimeter = 450m

Sides are in ratio 12:13:15

Answer:-

Area = 150√6

Need to Find =》

Area=?

Explanation =》

Let first be 12x

Second be 13x

Third be 15x

Semi perimeter = 450/2 = 225m

we know that,

Perimeter of a triangle= Sum of all Sides

450= 12x+13x+15x

450= 30x

450/30=x

x= 15m

Hence, Sides are :-

12x= 12×15= 195m

13x= 13×15= 180m

15x=15×15= 225m

By Using Heron's Formula

Area of triangle =》 √[s( s-a)(s-b)(s-c)

√225(225−195)(225−180)(225−225)

  \sqrt225×30×45×1

15  \sqrt30×9×5×1

15×3  \sqrt 30×5

30  \sqrt 150

30 \sqrt25×6

30×5  \sqrt 6

150  \sqrt6

★Area of triangle is 150√6★

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