Math, asked by prabachan1st, 1 year ago

the sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. find its area

Answers

Answered by Anonymous
57
Ahoy!

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Let the sides be 3x , 5x , 7x

Now,

Perimeter of triangle = 300cm

3x + 5x + 7x = 300

15x = 300

x = 20

Sides 3x = 3 × 20 = 60 , 5x = 5 × 20 = 100 , 7x = 7 × 20 = 150

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

√(150)(90)(50)(10)

1500√3m^2

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prabachan1st: thanks
Anonymous: welcome!
RohitSaketi: wow.. mind blowing xD
Anonymous: thx ji :hands_up:
raj76240: nice answer
Answered by Anonymous
30

heya...

here is your answer..

given,

the ratio = 3:5:7

perimeter = 300 meters

let us teke the sides = 3x,5x,7x

3x+5x+7x = 300

15x = 300

x = 300/15

x = 60/3

x= 20

sides = 3x = 3*20 = 60

5x= 5*20 = 100

7x = 7*20 = 140

Area, A=√{s(s−a)(s−b)(s−c)}  

=√{150(150−60)(150−100)(150−140)}  

=√{150×90×50×10}=1500√3 m²

it may help you..

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