Question

The perimeter of a triangle 60 5.13 two of the three sides of the triangle are 15 point 85 and 35.9 M find the third side

Answer 1

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

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