Question

Find the area of an equilateral triangle having altitude h cm.

Answer 1

Altitude of an equilateral triangle , bisects the base. If each side = a unit

By Pythagiras law, a² = (a/2)² + h²

=> a² - a²/4 = h²

=> h = √(3a²/4) = √3a/2

=> a = 2h/√3

Area( triangle) = 1/2 * a * h

=> area = 1/2 * 2h/√3 * h = h²/√3 = √3h² /3

Area = √3h² /3

hope its help you

Answer 2

Altitude=h
Area of a triangle=(1/2)×base ×height
=(1/2)×(h/2)×b/2(If b is one side)
=hb/8