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​

Answer 1

Answer:

Step-by-step explanation:

sum of ratio=3+4+5

                   =12

each part    =510/12

                   =42.5

great side   =5×42.5

                   =212.5

THE GREAT SIDE MEASURE IS 212.5 METRES

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Answer 2

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

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