Answer this question please Question 3. With proper explanation/ steps Better one would be marked as Brainlist!!!
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Answer:
a) root 3/4 a^2
Explanation:
Formula for area of equilateral triangle is (root 3)/4 × (side)^2
Answered by
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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