Question

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

Answer 1

Answer:

$\frac{\sqrt{3}a }{2}$ will be length of altitude.

Step-by-step explanation:

as side is a, then altitude will intersect opposite side at $\frac{a}{2}$

by pythagoras theorem,

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

on solving we get,

altitude = $\frac{\sqrt{3}a }{2}$

Hope it Helps!!

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