Question

the side of triangle plot are on the ratio 2:3:4 and its perimeter is900 m find it area​

Answer 1

Answer:

29047

Step-by-step explanation:

Let the sides are 2a, 3a and 4a.  Given  that the perimeter of the triangle is 900 m .

⇒ sum of all sides = 900

⇒ 2a + 3a + 4a = 900

⇒ 9a = 900

⇒ a = 900/9  = 100        ...(1)

Using heron's formula, when semi-perimeter is 9a/2, area is

=√(9a/2)(9a/2 -2a)(9a/2 -3a)(9a/2 -4a)

= √(9a/2)(5a/2)(3a/2)(a/2)

= √a⁴(9/2)(5/2)(3/2)(1/2)

= a²√(135/16)

= (100)² (1/4) √135     {a = 100}

= (10000/4) × √135

⇒ 2500√135 ≈ 29047  unit²

Answer 2

Answer:

I hope it will help you thanks for asking