Height of Equilateral Triangle given Circumradius Calculator

✖The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.ⓘ Circumradius of Equilateral Triangle [r_c]

+10%

-10%

✖The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.ⓘ Height of Equilateral Triangle given Circumradius [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Equilateral Triangle Formula PDF PDF Image

Height of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
h = 3/2*r_c
This formula uses 2 Variables

Variables Used

Height of Equilateral Triangle - (Measured in Meter) - The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.
Circumradius of Equilateral Triangle - (Measured in Meter) - The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Equilateral Triangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 3/2*r_c --> 3/2*5

Evaluating ... ...

h = 7.5

STEP 3: Convert Result to Output's Unit

7.5 Meter --> No Conversion Required

FINAL ANSWER

7.5 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Equilateral Triangle » Height of Equilateral Triangle » Height of Equilateral Triangle given Circumradius

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area

LaTeX Go Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Height of Equilateral Triangle

LaTeX Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Circumradius

LaTeX Go Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle

Height of Equilateral Triangle given Inradius

LaTeX Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Height of Equilateral Triangle given Circumradius Formula

LaTeX Go

Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
h = 3/2*r_c

What is Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What is Circumcircle?

The Circumscribed circle or circumcircle of an equilateral triangle is a circle that passes through all the vertices of the equilateral triangle. The center of this circle is called the circumcenter and its radius is called circumradius.

How to Calculate Height of Equilateral Triangle given Circumradius?

Height of Equilateral Triangle given Circumradius calculator uses Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to calculate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Circumradius is defined as the length of the perpendicular drawn from the vertex to its opposite side, calculated using the circumradius of the circumcircle. Height of Equilateral Triangle is denoted by h symbol.

How to calculate Height of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Height of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Height of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 7.5 = 3/2*5.

FAQ

What is Height of Equilateral Triangle given Circumradius?

The Height of Equilateral Triangle given Circumradius is defined as the length of the perpendicular drawn from the vertex to its opposite side, calculated using the circumradius of the circumcircle and is represented as h = 3/2*r_c or Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

How to calculate Height of Equilateral Triangle given Circumradius?

The Height of Equilateral Triangle given Circumradius is defined as the length of the perpendicular drawn from the vertex to its opposite side, calculated using the circumradius of the circumcircle is calculated using Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. To calculate Height of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (r_c). With our tool, you need to enter the respective value for Circumradius of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Equilateral Triangle?

In this formula, Height of Equilateral Triangle uses Circumradius of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle
Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Home

FREE PDFs

🔍 Search