Question : Two sides of a parallelogram are 20 cm and 25 cm. If the altitude corresponding to the side of length 25 cm is 10 cm, then the altitude corresponding to the other pair of sides is:
Option 1: 10.5 cm
Option 2: 12 cm
Option 3: 12.5 cm
Option 4: 10 cm
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Correct Answer: 12.5 cm
Solution :
Given: Two sides of a parallelogram are 20 cm and 25 cm. If the altitude corresponding to the side of length 25 cm is 10 cm.
Let the altitude corresponding to the other pair of sides be $h$ cm.
According to the question,
20 × $h$ = 25 × 10
⇒ $h$ = $\frac{25×10}{20}$
$\therefore h$ = $\frac{25}{2}$ = 12.5 cm
Hence, the correct answer is 12.5 cm.
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