Question

5. Derive the formula to find the height of an equilateral triangle of side a
please step by step explanation​

Answer 1

draw equilateral triangle

draw angle bisector, then you will get two right angled triangle

solve for the height of right angled triangle using Pythagoras theorem

then you will get height as

$\sqrt{3} \div 2 \times a$

Answer 2

Step-by-step explanation:

To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle

ormulas and Calculations for a equilateral triangle:

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.