Question

find the height of an equilateral triangle with side 2a ??​

Answer 1

$\bf\underline{\underline{\green{SOLUTION:-}}}$

Question

• find the height of an equilateral triangle with side 2a ?

Answer

• h= √3a

Given

• Side = 2a

To Calculate

• height __?

Step by Step Explanation

Using formula

Area of Equilateral triangle = √3/4 side ²

$= \frac{ \sqrt{3} }{4} (2a) {}^{2}$

$= \frac{ \sqrt{3} \times 4a {}^{2} }{4}$

$= \sqrt{3a {}^{2} }$

Area = √3a²

AD = height

We know that,

Area = 1/2 × b× h

√3a²= 1/2 × 2a ×h

√3a²= a × h

√3a²/a= h

√3a = h

$\bf\underline{\underline{\green{HENCE:-}}}$

• h= √3a

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