Question

the sides of a triangle plot are in the ratio of 3 ratio 5 ratio 7 and its perimeter is 300 M find its area​

Answer 1

Answer: 2598 m

Step-by-step explanation: Let the sides be 3x, 5x and  7x respectively.

Perimeter= sum  of all side.

300m= 3x +5x+7x

300= 15x

x =20m

Therefore the length of the sides are 60m, 100m and  140m.

s = 60+ 100+ 140/ 2

s =  300/2 = 150m

area= root[ s(s-a)(s-b)(s-c)]

= root[150 x 90 x 50 x 10 ]

= root[13500 x 500]

= root[6750000]

= 2598m aprrox.

Answer 2

Answer:

Given:-

The perimeter of a triangle is 300 m. If its sides are in the ratio 3:5:7.

Find:-

Find the area of the triangle .

As per the given request let us assume.

Side (1) = 3x

Side (2) = 5x

Side (3) = 7x

We know that:-

= Sum of all sides = 300

= 3x + 5x + 7x = 300

= 20

Hence, the three semi-perimeter are:-

3 × 20 = 60.

5 × 20 = 100.

7 × 20 = 140.

Using formula:-

Area = √s(s - a) (s - b) (s - c)

Calculations:-

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

= 150 (90 × 50 × 10)

= 1500 √3 m²

Therefore this is the required answer.