Math, asked by tinamalhotra24, 9 months ago

Hello mates!!!!
Plzzz answer above question.
I promise you that whose answer will be correct that person only will mark as brainlist n will also get 5 stars

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Answered by Darsh05
1

Answer:√3a

Step-by-step explanation:

Since it is equilateral triangle, AB = BC = CA = 2a. Draw a perpendicular bisector AD to BC such that BD = CD = a.

Now in ΔABD by Pythagoras' theorem,

(BD)² + (AD)² = (AB)²

=> a² + (AD)² = (2a)²

=> (AD)² = 4a² - a²

=> AB = \sqrt{3a^{2} }

=> AB = \sqrt{3} a

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