CBSE BOARD X, asked by khushimandot1555, 9 months ago

Answer this question please Question 3. With proper explanation/ steps Better one would be marked as Brainlist!!!

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Answers

Answered by grizzlyb753697
1

Answer:

a) root 3/4 a^2

Explanation:

Formula for area of equilateral triangle is (root 3)/4 × (side)^2

Answered by kingdruxo
1

Answer:

Area of Triangle = ½ × base × height

Here, base = a, and height = h

Now, apply Pythagoras Theorem in the triangle.

a2 = h2 + (a/2)2

⇒ h2=a2–a2/4

⇒ h2=(3a2)/4

Or, h=½(√3a)

Now, put the value of “h” in the area of the triangle equation.

So,

Area of Triangle = ½ × base × height

⇒ A = ½ × a × ½(√3a)

Or, Area of Equilateral Triangle = ¼(√3a2)

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