Equilateral Triangle

In an Equvilateral Triangle, Area:

  1. Side S given:                  34S2~~~~~~~~~~~~~~~~~~\dfrac { \sqrt { 3 } }{ 4 }*{ S }^{ 2 }

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

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

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

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

Perimeter:

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

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

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

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

  5. Inradius r given:             63r  ~~~~~~~~~~~~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
4 years, 6 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 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 - 4 years ago

Log in to reply

what is Equvilateral Triangle

The almighty knows it all. - 2 years, 10 months 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 - 2 years, 10 months ago

Log in to reply

that is equilateral not equivilatera

The almighty knows it all. - 2 years, 10 months ago

Log in to reply

@The almighty Knows It All. Thanks. I have corrected.

Niranjan Khanderia - 2 years, 10 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...