Question

a triangle shaped land has the side in the ratio 3:5:7, if it perimeter is 300 watt wind we the area of the land​

Answer 1

Answer:

Step-by-step explanation:

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 = root 150* (150-60) * (150-100) * (150-140)

= root 150 * 90 * 50 * 10

= root 30*5 * 30*3 * 5*10 *10

= root 30^2 * 5^2 * 10^2 *3

= 30 * 5 * 10 * root 3

= 1500 root 3

Answer 2

let be triangle sides = 3x,5x,7x

perimeter of triangle=sum of all sides

300=3x+5x+7x

300=15x

300/15=x

20=x

3x=3×20

= 60

5x=5×20

= 100

7x=7×20

= 140

area of triangle =1/2×b×h

=1/2×100×140

=7000 ans

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