Waste less time on Facebook — follow Brilliant.
×

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
2 years, 8 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

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

Niranjan Khanderia - 2 years, 2 months ago

Log in to reply

what is Equvilateral Triangle

Rohit Camfar - 1 year ago

Log in to reply

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

Niranjan Khanderia - 1 year ago

Log in to reply

that is equilateral not equivilatera

Rohit Camfar - 1 year ago

Log in to reply

@Rohit Camfar Thanks. I have corrected.

Niranjan Khanderia - 1 year ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...