3) Find the height of an equilateral triangle having side 2a.​

2 thoughts on “3) Find the height of an equilateral triangle having side 2a.​”

1. An equilateral triangle is a triangle in which all three sides are equal and each internal angle is 60°.

   So if one side is 2a , then the other sides should also be equal to 2a .

   Lets name the sides A, B, C.

   A=B=C=2a

   Now in an equilateral triangle, the height from any of its side is from its mid-point(it is the perpendicular bisector of that side)

   Lets consider the side as C.

   So by Pythagoras Theorem

   h =√{ A2 − (C2)2 }

   h = √{ (2a)2−(2a2)2 }

   h = √ { 4a2−a2 }

   h = √{ 3a2 }

   h = a√3

   So the height is a√3 for any given value of a

   You can find the height by multiplying the value of a by 1.732(approx decimal value of √3

   I hope its help you

   thank you

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2. Answer:

   Answer will be 2 units

   Step-by-step explanation:

   Thanks for asking

   Reply