Question

The sides of the triangle are in ratio2:3:4 and its perimeter is 36 cm then its area will be ​

Answer 1

Answer:37.947

Step-by-step explanation:

Answer 2

Answer:

24.16cm²

Step-by-step explanation:

Let the sides be2x, 3x and 4x

Given,

Perimeter=36cm

Perimeter=s+s+s

36=2x+3x+4x

36=9x

36/9=x

3=x

Therefore,

2x=2×3=6cm

3x=3×3=9cm

4x=4×3=12cm

So,

a=6cm

b=9cm

c=12cm

s=a+b+c/2

=6+9+12/2

=27/2

=13.5

Area=√s(s-a)(s-b)(s-c)

=√13.5(13.5-6)(13.5-9)(13.5-12)

=√13.5(7.5)(4.5)(1.5)

=√683.43

=26.14

Hence, the area of the triangle is 26.14cm²

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