Question

The height of an equilateral triangle having each side 16 cm is​

Answer 1

answer is 13.85 cm .

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hope it will helps you a lot .

Answer 2

Solution:-

Given:-

It is an equilateral triangle.

Side = 16 cm

To Find:-

Height.

Formula:-

$Height = \frac{\sqrt{3} *side}{2}$

By The Problem:-

$Height = \frac{\sqrt{3}* side}{2}\\ Height = \frac{\sqrt{3}* 16}{2}\\ Height = 8\sqrt{3} \:cm$

Answer:-

$8\sqrt{3} \: cm$

Other Way:-

Step 1 :-Draw an equilateral triangle ABC with AD as altitude.

Step 2 :- So, we get a Right angle triangle ADB Right angled at D.

Step 3:-    AB = 16 cm

         BD = 8 cm---(As altitude of an equilateral triangle is equal to Median and Median divides a triangle  into two equal parts.)

And, AD = x cm

It is  a Right angle triangle. So, we can apply Pythagoras theorem.

(AB) ² = (AD)²+(BD)²

(16) ² = x² + 8²

256 = x² + 64

x² = 256-64

x=$\sqrt{192}$

x = $8\sqrt{3} \:cm$    

Hey mate this can help you.