Question

The perimeter of a triangular garden is 90cm and its sides are in the ratio 3:5:4.Using Heron's formula find the area of triangular garden.

Answer in step by step.​

Answer 1

Area of triangle = 1/2 *length*breadth

Answer 2

Answer:

Let the ratio unit be x

So, Sides a=3x,b=5x,c=4x

Perimeter=90cm

90=3x+5x+4x

90=12x

x=90÷12

x=5cm

Now, a=3×5 b=5×5 c=4×5

a=15cm b=25cmc=20cm

Semi Perimeter, s=Perimeter/2

=90/2

=45cm

Area of triangular garden=√s(s-a)(s-b)(s-c)

=√45(45-15)(45-25)(45-20)

=√45×30×25

=√3×3×5×3×5×2×5×5

=3×2√3×5×5

= 6√75 cm^2