Question

if the sides of a triangle are in the ratio 3:11/4:3 1/4(three 1/4) then the triangle is?​

Answer 1

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=  

2

Sum of sides of triangle

​

 

=  

2

36+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 cm  

2

 

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