Question

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

Answer 1

Answer:

This is the answer of the given question

Answer 2

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Given:

An equilateral triangle having side=2a.

therefore, AB=BC=AC=2a. Draw AD perpendicular to BC such that BD=DC=a.

By using pythagoras theorm

• (AC)²=(AD)²+(DC)²
• $(2a)^{2}=a^{2}+(AD)^{2}$
• $4a^{2} - a^{2}=(AD)^{2}$
• $3a^{2}=(AD)^{2}$
• $AD=\sqrt{3}{a}$
• Therefore, height of an equilateral triangle is
• $AD=\sqrt{3}{a}$