Answer :

Let the smaller side be x cm

Larger side = (x + 4) cm


Third side = (2x-6) cm


Perimeter = 50 cm


x + (x + 4) + (2x-6) = 50


4x-2 = 50


4x = 52


x = 13


Therefore, smaller side = 13cm


Larger side = x + 4 = 13 + 4 = 17cm


Third side = 2x-6 = 2×13 – 6 = 26-6 = 20cm


a = 13, b = 17, c = 20


s = (a + b + c)/2


s = (13 + 17 + 20)/2 = 50/2 = 25.


Area(Δ) = √s(s-a)(s-b)(s-c)


Area(Δ) = √25(25-13)(25-17)(25-20)


Area(Δ) = √25×12×8×5


Area(Δ) = 20√30 cm2


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