Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55 m.

Let the third side be

Then (3x-4) be one of the equal sides

According to the question

55 = x + 2(3x-4)

55 = x + 6x-8

55 = 7x-8

55 + 8 = 7x

63 = 7x

9 = x

(divide by 7 on both the sides)

The third side = x = 9m

Hence the equal two sides = (3x-4) = (3 × 9-4) = (27-4)

= 23 m each

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