Question

What is the length of an altitude in an equilateral triangle of side a cm is

Answer 1

in an equilateral triangle the altitude is a bisector of the base and also perpendicular to the base

therefore half side of the base is a/2( see the figure)

apply Pythagoras theorem in any one Triangle

${a}^{2} = ( \frac{a}{2} )^{2} + (altitude)^{2}$

(altitude)²=3a²/4

altitude=√3a/2

hope you understand please mark as brainliest

Answer 2

Answer:

√3 ×a/2 will be the answer