Inradius of Equilateral Triangle given Median Calculator

✖The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.ⓘ Median of Equilateral Triangle [M]

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✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle given Median [r_i]

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Inradius of Equilateral Triangle given Median Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle
r_i = 1/3*M
This formula uses 2 Variables

Variables Used

Inradius of Equilateral Triangle - (Measured in Meter) - The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.
Median of Equilateral Triangle - (Measured in Meter) - The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

STEP 1: Convert Input(s) to Base Unit

Median of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 1/3*M --> 1/3*7

Evaluating ... ...

r_i = 2.33333333333333

STEP 3: Convert Result to Output's Unit

2.33333333333333 Meter --> No Conversion Required

FINAL ANSWER

2.33333333333333 ≈ 2.333333 Meter <-- Inradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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< Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area

LaTeX Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Inradius of Equilateral Triangle

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

Inradius of Equilateral Triangle given Perimeter

LaTeX Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

Inradius of Equilateral Triangle given Height

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

Inradius of Equilateral Triangle given Median Formula

LaTeX Go

Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle
r_i = 1/3*M

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°.

How to Calculate Inradius of Equilateral Triangle given Median?

Inradius of Equilateral Triangle given Median calculator uses Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Median formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the median. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle given Median using this online calculator? To use this online calculator for Inradius of Equilateral Triangle given Median, enter Median of Equilateral Triangle (M) and hit the calculate button. Here is how the Inradius of Equilateral Triangle given Median calculation can be explained with given input values -> 2.333333 = 1/3*7.

FAQ

What is Inradius of Equilateral Triangle given Median?

The Inradius of Equilateral Triangle given Median formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the median and is represented as r_i = 1/3*M or Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle. The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

How to calculate Inradius of Equilateral Triangle given Median?

The Inradius of Equilateral Triangle given Median formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the median is calculated using Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle. To calculate Inradius of Equilateral Triangle given Median, you need Median of Equilateral Triangle (M). With our tool, you need to enter the respective value for Median 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 Inradius of Equilateral Triangle?

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

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

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