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The areas of two similar Δs are 81 cm2 and 144 cm2. If the largest side of the smaller Δ is 27 cm, then the largest side of the larger Δ is :
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- 24 cm
- 48 cm
- 36 cm
- 88 cm
- None of these
Correct Option: C
Let ABC and DEF be the two similar Δs having area 81 cm2 and 144 cm2 respectively:
Let BC = 27 cm
Then since ΔABC ∼ ΔDEF
| ∴ | ar (∆ABC) | = | BC2 | (area Theorem) |
| ar(∆DEF) | EF2 |
| 81 | = | (27)2 | ⇒ | 9 | = | 27 |
| 144 | x2 | 12 | x |
∴ x = 36 cm.
