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The area of two similar Δs are 121 cm2 and 81 cm2 respectively. What is the ratio of their corresponding heights (altitudes):
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11 9 -
22 9 -
11 18 -
33 6 - None of these
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Correct Option: A
In given Δ ABC and Δ DEF ,
ar(∆ABC) = 121 cm2 and ar(∆DEF) = 81 cm2
We know that ,
| ar(∆ABC) | = | AM2 |
| ar(∆DEF) | DN2 |
| 121 | = | AM2 |
| 81 | DN2 |
| ∴ | AM | = | 11 |
| DN | 9 |
Thus , AM : DN = 11 : 9 .
