Equilateral Triangle

In an Equvilateral Triangle, Area:

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

  2. Height H given:              13∗H2~~~~~~~~~~~~~~\dfrac { 1}{ \sqrt { 3 } }*H^ 2

  3. Perimeter P given:        1123∗P2~~~~~~~~\dfrac { 1 }{ 12\sqrt { 3 } } *P^ 2

  4. Circumradius R given:     334∗R2~~~~~\dfrac { 3 \sqrt3}{ 4 }* { R }^{ 2 } :

  5. Inradius r given:                    33∗r2~~~~~~~~~~~~~~~~~~~~ 3\sqrt { 3 }* { r }^{ 2 }

Perimeter:

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

  2. Height H given:              23∗A~~~~~~~~~~~~~2\sqrt {3 }* A

  3. Area A given:              634∗A~~~~~~~~~~~~~\dfrac { 6 }{ \sqrt [{\Large 4} ]{ 3 } }* \sqrt { A }

  4. Circumradius R given:       33∗R~~~~~~~3\sqrt { 3 }* R

  5. Inradius r given:             63∗r  ~~~~~~~~~~~~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.

#Geometry

Note by Niranjan Khanderia
6 years, 1 month ago

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Comments

I think users friendly variables have now been introduced in the notes. The notes are now improved. Thanks.

Niranjan Khanderia - 5 years, 8 months ago

what is Equvilateral Triangle

Vishwash Kumar ΓΞΩ - 4 years, 6 months ago

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A triangle with all sides equal in length. All angles are also equal and their value 60 degrees.

Niranjan Khanderia - 4 years, 6 months ago

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that is equilateral not equivilatera

Vishwash Kumar ΓΞΩ - 4 years, 6 months ago

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@Vishwash Kumar Γξω – Thanks. I have corrected.

Niranjan Khanderia - 4 years, 6 months ago
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