Question

Find the altitude of an equilateral triangle when each of its side is 'a'cm

Answer 1

here ABC is an equilateral triangle with each side as 'a'.

therefore AD Is the altitude which bisects the base BC into 2 equal halves.

therefore in triangle ABD
AD^2+BD^2=AB^2 ( Pythagoras theorem)

=>AD=√a^2-a^2/4

=>AD=√3a/2.
therefore altitude of the triangle is √3a/2.

I hope this will help you.

Answer 2

Step-by-step explanation:

Here ABC is an equilateral triangle with each side as 'a'. therefore AD Is the altitude which bisects the base BC into 2 equal halves. =>AD=√3a/2. therefore altitude of the triangle is √3a/2.Oct 23, 2018