Height of Equilateral Triangle given Exradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
h = re/1
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.
Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
STEP 1: Convert Input(s) to Base Unit
Exradius of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = re/1 --> 7/1
Evaluating ... ...
h = 7
STEP 3: Convert Result to Output's Unit
7 Meter --> No Conversion Required
FINAL ANSWER
7 Meter <-- Height of Equilateral Triangle
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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9 Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area
Go Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))
Height of Equilateral Triangle given Semiperimeter
Go Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
Height of Equilateral Triangle given Perimeter
Go Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Height of Equilateral Triangle
Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Height of Equilateral Triangle given Length of Angle Bisector
Go Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
Height of Equilateral Triangle given Circumradius
Go Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
Height of Equilateral Triangle given Inradius
Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle
Height of Equilateral Triangle given Exradius
Go Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
Height of Equilateral Triangle given Median
Go Height of Equilateral Triangle = Median of Equilateral Triangle/1

Height of Equilateral Triangle given Exradius Formula

Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
h = re/1

What is an 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 the height of an Equilateral Triangle and how it is calculated?

The height of a Triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. In an equilateral triangle, all three sides are equal and all the angles measure 60 degrees. Its height is calculated by the formula h= √3a / 2 where h=height of an equilateral triangle and a is the length of the side of the equilateral triangle.

How to Calculate Height of Equilateral Triangle given Exradius?

Height of Equilateral Triangle given Exradius calculator uses Height of Equilateral Triangle = Exradius of Equilateral Triangle/1 to calculate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Exradius formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using exradius. Height of Equilateral Triangle is denoted by h symbol.

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

FAQ

What is Height of Equilateral Triangle given Exradius?
The Height of Equilateral Triangle given Exradius formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using exradius and is represented as h = re/1 or Height of Equilateral Triangle = Exradius of Equilateral Triangle/1. Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
How to calculate Height of Equilateral Triangle given Exradius?
The Height of Equilateral Triangle given Exradius formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using exradius is calculated using Height of Equilateral Triangle = Exradius of Equilateral Triangle/1. To calculate Height of Equilateral Triangle given Exradius, you need Exradius of Equilateral Triangle (re). With our tool, you need to enter the respective value for Exradius 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 Exradius of Equilateral Triangle. We can use 8 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 = 3/2*Circumradius 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))
  • Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
  • Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
  • Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
  • Height of Equilateral Triangle = Median of Equilateral Triangle/1
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