The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. -Maths 9th

1 Answer

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 =213+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​= 2030​cm2

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