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What is the answer to this??

What is the answer to this??-example-1
User LRFLEW
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1 Answer

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Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO AO is the hypotenuse, ∠OAD = 30°⇒

OD=10:2=5ft

By the Pythagorean theorem


10^2=AD^2+5^2\\AD=√(100-25) \\AD=√(75)


AC=AD+DC=2√(75)=10√(3)


S=(a^2√(3) )/(4)


S=((10√(3))^2√(3) )/(4) =(300√(3) )/(4) =75√(3) ft^2

Answer: A)
S=75√(3)ft²

P.S. Hello from Russia and sorry for my bad english :^)

What is the answer to this??-example-1
User Abraham Cm
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