Question

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

Answer 1

Let the sides of the triangle be 3x, 5x and 7x repsectively and since the perimeter is 300m

So, 3x + 5x + 7x=300

15x=300

x=300/15

x=20 m

so,length of one side=60 m

length of second side=100 m

and length of third side=140 m

Now perimeter=300m

therefore semi-perimeter=150 metre

 

now according to herons formula -

Area = √150* (150-60) * (150-100) * (150-140)

= √150 * 90 * 50 * 10

= √30*5 * 30*3 * 5*10 *10

= √30^2 * 5^2 * 10^2 *3

= 30 * 5 * 10 * √3

= 1500√3

Answer 2

Answer:

Hi

let the ratio be x

3x,5x , 7x

A/q

perimeter of triangle = sum of all side

300cm= 3x+5x+7x

300cm=15x

x= 300/15

x=20

we know base ^2+ height^2= hypotenuse^2 (Pythagoras theorem)

Henceforth

b= 3x= 60cm

p= 5x= 100cm

h= 7x=140cm

Step-by-step explanation:

therefore

its

Area= 1/2×60CM×100cm

=3000cm^2

sorry,

i don't use herons formula

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MARK AS BRAIN LIST

thank you