Question

the side of a triangle are in a ratio of 3 4 5 and it's perimeter is 510 metre what is the measure of its great side with heron's formula
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Answer 1

Step-by-step explanation:

hey!!

Given, Side of triangle are in ratio 3:4:5 and their perimeter 144 cm.

Let the sides of triangle be 3x,4x,5x

Perimeter =3x+4x+5x=144 cm

12x=144

∴x=12 

Then sides of triangle are 3x=3×12=36 cm,

                                            4x=4×12=48 cm,

                                            5x=5×12=60 cm.

Now, Semi perimeter, s=2Sum of sides of triangle=236+48+60=72 cm

Using Heron's formula, Area of triangle =s(s−a)(s−b)(s−c)=72(72−36)(72−48)(72−60)=72×36×24×12=864 cm2

hope, this will help u ...♥️♥️

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