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The perimeter of two similar triangles ∆ABC and ∆PQR are 60 cm and 36 cm respectively. If PQ = 18 cm, then AB is :
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- 20 cm
- 24 cm
- 36 cm
- 30 cm
- 20 cm
Correct Option: D
Here , The perimeter of two similar triangles ∆ABC and ∆PQR are 60 cm and 36 cm
and PQ = 18 cm
∆ ABC ~ ∆ PQR
As we know that ,
| ∴ | = | = | |||
| PQ | QR | RP |
| = | ||
| PQ + QR + RP |
| ⇒ | = | ||
| PQ | 36 |
| ⇒ | = | ||
| 18 | 36 |
| ⇒ AB = | × 18 = 30 cm. | |
| 36 |