Question

$\rm\dashrightarrow{Question:-}$

Please help me to solve it.


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Answer 1

Answer:

√3a

Step-by-step explanation:

height of an equilateral triangle =(√3/2 ) side

= (√3/2) × 2a

= √3a

hope this will help u

Answer 2

EXPLANATION.

Height of an equilateral triangle having side = 2a.

As we know that,

Formula of :

Pythagoras theorem.

⇒ H² = P² + B².

⇒ Hypotenuse > Perpendicular > Base.

In ΔABD.

⇒ AB = 2a

⇒ BD = a.

Using Pythagoras Theorem, we get.

⇒ (AB)² = (AD)² + (BD)².

⇒ (2a)² = (AD)² + (a)².

⇒ 4a² = (AD)² + a².

⇒ 4a² - a² = (AD)².

⇒ 3a² = (AD)².

⇒ (AD) = √3a².

⇒ (AD) = √3a.

Height of an equilateral triangle = √3a.