If the side of the triang reilar field on the ratio
of 2:3:4. if its perimeter is 900cm. find its area.​

2 thoughts on “If the side of the triang reilar field on the ratio<br />of 2:3:4. if its perimeter is 900cm. find its area.​”

1. Step-by-step explanation:

   a

   [tex] = (a = 2x )+ (b = 3x )+(c = 4x) (p = 900cm)[/tex]

   [tex]p = ab + bc + ca [/tex]

   [tex]900 + 2 + 3 + 4[/tex]

   [tex]900 = 9x \div 900[/tex]

   [tex]x = 900 \div 9[/tex]

   [tex]x = 100[/tex]

   [tex]ab = a = 2x = 2 \times 100[/tex]

   therefore

   [tex]a = 200cm[/tex]

   [tex]bc = b = 3x = 3 \times 100[/tex]

   [tex]therefore a = 300cm[/tex]

   [tex]ca = c = 4x = 4 \times 100[/tex]

   [tex]therefore = c = 400cm[/tex]

   s(s-a)( s-b)(s-c)

   450(450–200) (450–300)(450–400)

   450*225*75*150

   5*3*2*5*3*5*3*5*

   33750cm

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2. Step-by-step explanation:

   Let the common multiple be x

   3x+5x+4x=900

   12x=900

   x=75

   3x=75*3=225

   5x=75*5=375

   4x=75*4=300

   Area,

   S=225+375+300/2

   =450

   Area=√450(450-225)(450-375)(450-300)

   =√450*225*75*150

   =5*3*2*5*3*5*3*5

   =33750cm

   Reply