Q90 of 113 Page 110

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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