Question : In an isosceles triangle, if the ratio of the equal side and unequal side is 5 : 7 and its perimeter is 34 cm, then what is the length of the equal side?
Option 1: 14 cm
Option 2: 18 cm
Option 3: 10 cm
Option 4: 34 cm
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Correct Answer: 10 cm
Solution : Let the ratio of equal side and unequal side be $5x$ and $7x$. According to the question, $5x+5x+7x=34$ ⇒ $17x=34$ ⇒ $x=2$ The length of equal sides = $5x=5\times2=10$ Hence, the correct answer is 10 cm.
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