Question

ABC is an equilateral triangle of side 4a. length of its altitude is ?​

Answer 1

$*Question:-$

ABC is an equilateral triangle of side 4a. length of its altitude is ?

$★Answer:-$

Let ABC be an equilateral triangle of the side 4a

units , We draw AD_|_BC. Then D is the mido of BC.

→ BD = BC/2 = 4a/2 = 2a

Now ABCD is a right ∆ right angle at D.

Hence, AB² = AD² + 2a². [By Pythagoras theorem]

• → (4a)² = AD² + 4a²
• → AD² = 16a² - 4a² = 12a²
• → AD = √12a²

Hence each altitude = 2√3a²