If ∆ ABC ~ ∆DEF such that 2AB = DE and BC = 8 cm, then the length of EF is:

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)
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  1. 16 cm
  2. 18 cm
  3. 22 cm
  4. 20 cm

Answer (Detailed Solution Below)

Option 1 : 16 cm
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Detailed Solution

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Given:

 ∆ ABC ~ ∆DEF

2AB = DE

BC = 8 cm

Concept used:

The ratio of the corresponding side of the similar triangle is equal

Calculations:

As, ∆ ABC ~ ∆DEF

⇒ \(\frac{AB}{DE}=\frac{BC}{EF}\)

As we know, 2AB = DE

⇒ \(\frac{AB}{2AB}=\frac{8}{EF}\)

⇒ EF = 8 \(\times\) 2 = 16 cm

⇒ Hence, The value of EF is 16 cm.

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