Question

The perimeter of a triangle is 450m. If its sides are in the

ratio 3:5:7 . Find the area of triangle.​

Answer 1

Answer:

area is 3375 √3 m²

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the lenght of sides of the given triangle be 3x metres, 5x metres, 7x metres respectively.

We know that,

Perimeter of a triangle = side+side+side

So,

3x+5x+7x = 450

=> 15x = 450

=> x = 450/15

=> x= 30

So, the three sides of the triangle will be 3×30 m= 90 m, 5×30 m= 150 m and 7×30= 210 m.

Three sides of the triangle are 90 m, 150 m, 210 m.

Finding its area using Heron's formula with sides a,b and c

Area = √s(s−a)(s−b)(s−c)

s=semi−perimeter

s= 225, a=90, b= 150, c= 210

Area = √{225(225-90)(225-150)(225-210)}

= √(225×135×75×15)

= √34171875

= ~5845.67

Hence, area of the triangle is 5845.67 m²