Two equal sides of a triangle are each 1 m less than three times the third side. Find the dimensions of the triangle if its perimeter is 54 m.
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Let the third side be x m.
Then the two equal sides are of length (3x−1) m.
Perimeter of triangle = 54 m.
⟹x+(3x−1)+(3x−1)=54
⟹7x−2=54
⟹x=8
Hence, the length of the triangle's sides are 8m, 23m and 23m.
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