Inradius of Equilateral Triangle given Height Calculator

✖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 [h]

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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 Height [r_i]

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Inradius of Equilateral Triangle given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = Height of Equilateral Triangle/3
r_i = h/3
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = h/3 --> 7/3

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 00.008 seconds)

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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 Height Formula

LaTeX Go

Inradius of Equilateral Triangle = Height of Equilateral Triangle/3
r_i = h/3

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 an inscribed circle of triangle?

A circle is inscribed in the triangle if the triangle's three sides are all tangents to a circle. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter.

How to Calculate Inradius of Equilateral Triangle given Height?

Inradius of Equilateral Triangle given Height calculator uses Inradius of Equilateral Triangle = Height of Equilateral Triangle/3 to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Height is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all three sides of it, calculated using height. Inradius of Equilateral Triangle is denoted by r_i symbol.

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

FAQ

What is Inradius of Equilateral Triangle given Height?

The Inradius of Equilateral Triangle given Height is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all three sides of it, calculated using height and is represented as r_i = h/3 or Inradius of Equilateral Triangle = Height of Equilateral Triangle/3. The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.

How to calculate Inradius of Equilateral Triangle given Height?

The Inradius of Equilateral Triangle given Height is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all three sides of it, calculated using height is calculated using Inradius of Equilateral Triangle = Height of Equilateral Triangle/3. To calculate Inradius of Equilateral Triangle given Height, you need Height of Equilateral Triangle (h). With our tool, you need to enter the respective value for Height 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 Height 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 = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))
Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

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