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# Equvilateral Triangle

In an Equvilateral Triangle, Area:

1. Side S given:$$~~~~~~~~~~~~~~~~~~\dfrac { \sqrt { 3 } }{ 4 }*{ S }^{ 2 }$$

2. Height H given:$$~~~~~~~~~~~~~~\dfrac { 1}{ \sqrt { 3 } }*H^ 2$$

3. Perimeter P given:$$~~~~~~~~\dfrac { 1 }{ 12\sqrt { 3 } } *P^ 2$$

4. Circumradius R given:$$~~~~~\dfrac { 3 }{ 4 }* { R }^{ 2 }$$ :

5. Inradius r given:$$~~~~~~~~~~~~~~~~~~~~ 3\sqrt { 3 }* { r }^{ 2 }$$

Perimeter:

1. Side S given:$$~~~~~~~~~~~~~~~~~~~3*S$$

2. Height H given: $$~~~~~~~~~~~~~2\sqrt {3 }* A$$

3. Area A given: $$~~~~~~~~~~~~~\dfrac { 6 }{ \sqrt [{\Large 4} ]{ 3 } }* \sqrt { A }$$

4. Circumradius R given:$$~~~~~~~3\sqrt { 3 }* R$$

5. Inradius r given: $$~~~~~~~~~~~~6\sqrt { 3 } *r\\~~\\$$

Note: Altitudes, Medians, and Angle bisectors all coincides, that is only one line represent all three, and in a triangle all three of them are are equal. H above represents each of them. I have written this again with variables that are user friendly. Could not insert in the notes itself. I tried to insert them in the above notes but could not.

Note by Niranjan Khanderia
1 year, 6 months ago

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