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The perimeter of an isosceles triangle is . The length of each congruent side is more than the length of its base. Find the lengths of all the sides.

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Answer

Let the congruent sides of an isosceles be .
Let the base of the isosceles be
According to the 1st condition,


According to the 2nd condition


Solving equation (1) and (2)


-------------------



By substituting in equation (1)





The length of the sides of a are and .

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MH Board March 2013 Class 10 Algebra

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