In a triangle ABC  What is the area of the triangle if a = 6 cm?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 9√3 square cm 
  2. 12 square cm 
  3. 18√3 square cm 
  4. 24 square cm 

Answer (Detailed Solution Below)

Option 1 : 9√3 square cm 
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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Explanation:

Given,

⇒ 

b2+ c 2 – a 2 = c 2 + a 2 – b 2 = a 2 + b 2 – c 2

⇒ a 2 = b 2 = c  

⇒ a = b = c

Hence, ABC is an equilateral triangle

Side of the equilateral triangle, a = 6 cm

The area of the equilateral triangle is,

∴ The area of the triangle is 9 × √3 square cm.

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