Question

Length of side of triangle is 6 cm and the second side of toys the third side if the perimeter of triangle is 18 cm find the side of the triangle

Answer 1

Answer:

20  

30

cm  2

Step-by-step explanation:

Let the smallest side of the triangle be x cm long

So, second side =(x+4)cm

and third side =(2x−6)cm

Given, perimeter =50cm

Therefore, x+(x+4)+(2x−6)=50

⇒4x=52

⇒x=13cm

So, first side of the triangle is 13cm, second side be 17cm and third side is 20cm.  

Now, semi-perimeter of the triangle =  

2

13+17+20

​

=25cm

Therefore, area of Δ=  

s(s−a)(s−b)(s−c)

​

 

=  

25(25−13)(25−17)(25−20)

​

 

=  

25×12×8×5

​

 

= 20  

30

​

cm  

2