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
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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