Question

Height of an equilateral triangle whose side is 2a units

Answer 1

$Given \: side \:of \:an \: equilateral \: triangle \\= 2a \: units$

$\red{ Height \: of \: the \: triangle } \\= \frac{\sqrt{3}}{2}\times (side) \\= \frac{\sqrt{3}}{2}\times (2a) \\= \sqrt{3} a \: units$

Therefore.,

$\red{ Height \: of \: the \: triangle }\\\green { = \sqrt{3} a\: units }$

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Answer 2

Answer:

√3a

Step-by-step explanation:

by Pythagoras theorem

(2a)^2= a^2+ h^2

4a^2=a^2+ h^2

3a^2=h^2

h=√3a.