In Δ ABC, ∠B = 135°, AB = 10√2 cm and BC = 14 cm. What is the length of AC? 

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AAI Junior Assistant (Fire Service) Official Paper (Held On: 15 Nov 2022 Shift 1)
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  1. 20√2 cm
  2. 28 cm
  3. 26 cm
  4. 24√2 cm

Answer (Detailed Solution Below)

Option 3 : 26 cm
Free
ST 1: English
20 Qs. 20 Marks 25 Mins

Detailed Solution

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Given:

In Δ ABC, ∠B = 135°, AB = 10√2 cm and BC = 14 cm.

Formula used:

Using the Cosine Rule:

Calculations:

Let AB = c = 10√2 cm, BC = a = 14 cm, and AC = b.

∠B = 135°

Using the Cosine Rule:

⇒ 

⇒ 

⇒ 

⇒  cm

∴ The correct answer is option (3).

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