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Equilateral 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:\(~~~~~\dfrac { 3 \sqrt3}{ 4 }* { R }^{ 2 }\) :

  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, 9 months ago

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I think users friendly variables have now been introduced in the notes. The notes are now improved. Thanks. Niranjan Khanderia · 1 year, 4 months ago

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what is Equvilateral Triangle Rohit Camfar · 1 month, 3 weeks ago

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@Rohit Camfar A triangle with all sides equal in length. All angles are also equal and their value 60 degrees. Niranjan Khanderia · 1 month, 3 weeks ago

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@Niranjan Khanderia that is equilateral not equivilatera Rohit Camfar · 1 month, 3 weeks ago

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@Rohit Camfar Thanks. I have corrected. Niranjan Khanderia · 1 month, 2 weeks ago

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