Question

the perimeter of the triangle is soums. One side of the
Changle est largel than the smaller side and thind sale in
bursleu luar twice the smaller side. Find the
area of the triangle​

Answer 1

Answer:

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