two equal sides of triangle are each 5 metres less than twice the third side if perimetre of triangle is 55 metres find lengths of its sides
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Let the third side be x m.
Then the two equal sides are of length (2x−5) m.
Perimeter of triangle = 55 m.
⟹x+(2x−5)+(2x−5)=55
⟹5x−10=55
⟹x=13
Hence, the length of the triangle's sides are 13m, 21m and 21m.
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