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∆ ABC and ∆DEF are two similar triangles and the perimeters of ∆ABC and ∆DEF are 30 cm and 18 cm respectively. If the length of DE = 36 cm, then length of AB is
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- 60 cm.
- 40 cm.
- 45 cm.
- 50 cm.
- 60 cm.
Correct Option: A
As per the given in question , we draw figures of two similar triangles ABC and DEF
Given , The perimeters of ∆ABC and ∆DEF are 30 cm and 18 cm
and DE = 36 cm
∆ ABC ~ ∆ DEF
∴ | = | = | |||
DE | EF | DF |
= | |
DE + EF + FA |
⇒ | = | ||
DE | 18 |
⇒ | = | ||
36 | 18 |
⇒ AB = | = 60 cm. | |
18 |