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The sides of a triangle are in the ratio 1/4 : 1/6 : 1/8 and its perimeter is 91 cm. The difference of the length of longest side and that of shortest side is
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- 19 cm
- 20 cm
- 28 cm
- 21 cm
- 19 cm
Correct Option: D
| Ratio of the sides of triangle = | : | : | |||
| 4 | 6 | 8 |
| = | × 24 : | × 24 : | × 24 | |||
| 4 | 6 | 8 |
[LCM of 4, 6, 8 = 24]
= 6 : 4 : 3
∴ 6x + 4x + 3x = 91
∴ 13x = 91
| ⇒ x = | = 7 | |
| 13 |
∴ Required difference = 6x – 3x = 3x
= 3 × 7 = 21 cm
