Let Δ ABC ∼ Δ QPR and  If QP = 12 cm, PR = 10 cm and AC = 15 cm, then the length of AB is:

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AAI Junior Assistant (Fire Service) Official Paper (Held On: 15 Nov 2022 Shift 1)
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  1. 12.8 cm
  2. 24 cm
  3. 16 cm
  4. 19.2 cm

Answer (Detailed Solution Below)

Option 4 : 19.2 cm
Free
ST 1: English
20 Qs. 20 Marks 25 Mins

Detailed Solution

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Given:

Δ ABC ∼ Δ QPR

Formula used:

In similar triangles, the ratio of the areas is equal to the square of the ratio of the corresponding sides.

Calculation:

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 

⇒ 368.64 = 

⇒ AB = 

⇒ AB = 19.2 cm

∴ The correct answer is option (4).

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