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The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the lengths of largest and smallest sides is 15 cm. The length of the largest side would be :
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- 36 cm
- 12 cm
- 60 cm
- 24 cm
- 36 cm
Correct Option: A
The sides of a triangle are in the ratio of 7 : 9 : 12.
Let the sides of the triangle be 7k, 9k and 12k cm.
According to the question,
12k – 7k = 15
| ⇒ 5k = 15 ⇒ k = | = 3 | |
| 5 |
∴ Largest side = 12k = 12 × 3 = 36 cm.
