Question

Sides of a triangle are in the ratio of 13:12:5 and it's perimeter is 450m. Find its area.
Plzzz... do it fast...

Answer 1

13x + 12x + 5x = 450

=> 30x = 450

=> x = 15

Side 1 = 13 x 15 = 195m

Side 2 = 12 x 15 = 180m

Side 3 = 5 x 15 = 75 m

Area:- s = 195+180+75/2

= 450/2

= 225 m

A = √s(s-a)(s-b)(s-c)

= √225(225-195)(225-180)(225-75)

= √225(30)(45)(150)

= √45562500

= 6750 square metres

Answer 2

Answer:

6750 m²

Step-by-step explanation:

Given Perimeter = 450 m.

Semi-Perimeter (s) = Perimeter/2

                               = 450/2

                               = 225 m.

Given ratio of sides is 13:12:5.

Let sides be a = 13x, b = 12x, c = 5x.{x be any number}

Now,

Perimeter = 450 m.

⇒ a + b + c = 450

⇒ 13x + 12x + 5x = 450

⇒ 30x = 450

⇒ x = 15

So,

⇒ 13x = 195 m.

⇒ 12x = 180 m.

⇒ 5x = 75 m.

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

                             = √225(225 - 195)(225 - 280)225 - 75)

                             = √225(30)(45)(150)

                             = √45562500

                             = 6750 m²

Therefore, Area of triangle = 6750 m²

****************** Happy Makar Sankranthi ***********************

Hope it helps!