Question

given that root 3 =1.732 find the altitude of an equilateral triangle whos one side measures 6cm​

please answer fast!!

Answer 1

Answer:

The answer to this question is 5.196

Step-by-step explanation:

In case of an equilateral triangle, all the altitudes drawn are median as well

So,from the figure it is clear that

(AD)² + (BD)² = (AB)²  ( since triangle ADB is a right-angled triangle)

or,(AD)² = (AB)² - (BD)²                     (AB = BC = CA = 3)

or, (AD)² = 6² - 3²                              ( BD = (BC/2) = 3 )

or, AD = $\sqrt{27}$

or, AD = 3$\sqrt{3}$

or, AD = 5.196cm