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Maharashtra State BoardSSC (English Medium) 10th Standard

In ∆ABC, AB = 6sqrt(3) cm, AC = 12 cm, and BC = 6 cm then m∠A = ?

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Question

In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm then m∠A = ?

Options

  • 30°

  • 60°

  • 90°

  • 45°

MCQ
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Solution

30°

Explanation:


We know that, `6 = 1/2(12)`

And `6sqrt(3) = sqrt(3)/2 (12)`

∴ `BC = 1/2 AC` and `AB = sqrt(3)/2 AC` 

∴ ∠A = 30°  ...(Converse of 30° - 60° - 90° theorem)

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Converse of Pythagoras Theorem
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Chapter 2: Pythagoras Theorem - Q.1 (A)

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