Question

please answer this quickly​

Answer 1

Answer:

Given : side of equilateral triangle =a

To prove : L = ✓3/2 a

Proof: In the given fig

Join A and D = AD

AD is perpendicular to BC

BC = a

so,

BD = a/2

so now in triangle ADC

by using Pythagoras theorem

(AD)^2 = a^2 - a^2/4

(AD)^2 = 3a^2/4

AD = ✓3a/4

hence altitude of length is ✓3a/4