Inradius of Isosceles Triangle given Base and Height Calculator

✖Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.ⓘ Base of Isosceles Triangle [S_Base]			+10% -10%
✖The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.ⓘ Height of Isosceles Triangle [h]			+10% -10%

✖The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle.ⓘ Inradius of Isosceles Triangle given Base and Height [r_i]

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Inradius of Isosceles Triangle given Base and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2))
r_i = (S_Base*h)/(S_Base+sqrt(4*h^2+S_Base^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Inradius of Isosceles Triangle - (Measured in Meter) - The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle.
Base of Isosceles Triangle - (Measured in Meter) - Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.
Height of Isosceles Triangle - (Measured in Meter) - The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

STEP 1: Convert Input(s) to Base Unit

Base of Isosceles Triangle: 6 Meter --> 6 Meter No Conversion Required
Height of Isosceles Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (S_Base*h)/(S_Base+sqrt(4*h^2+S_Base^2)) --> (6*8)/(6+sqrt(4*8^2+6^2))

Evaluating ... ...

r_i = 2.07900140449407

STEP 3: Convert Result to Output's Unit

2.07900140449407 Meter --> No Conversion Required

FINAL ANSWER

2.07900140449407 ≈ 2.079001 Meter <-- Inradius of Isosceles Triangle

(Calculation completed in 00.004 seconds)

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< Radius of Isosceles Triangle Calculators

Inradius of Isosceles Triangle given Base and Height

LaTeX Go Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2))

Inradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))

Inradius of Isosceles Triangle given Legs and Base Angle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)

Circumradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)

Inradius of Isosceles Triangle given Base and Height Formula

LaTeX Go

What is an Isosceles triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

How to Calculate Inradius of Isosceles Triangle given Base and Height?

Inradius of Isosceles Triangle given Base and Height calculator uses Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2)) to calculate the Inradius of Isosceles Triangle, The Inradius of Isosceles triangle given Base and Height formula is defined as the length of the radius of the incircle of the isosceles triangle, calculated using its base and height. Inradius of Isosceles Triangle is denoted by r_i symbol.

How to calculate Inradius of Isosceles Triangle given Base and Height using this online calculator? To use this online calculator for Inradius of Isosceles Triangle given Base and Height, enter Base of Isosceles Triangle (S_Base) & Height of Isosceles Triangle (h) and hit the calculate button. Here is how the Inradius of Isosceles Triangle given Base and Height calculation can be explained with given input values -> 2.079001 = (6*8)/(6+sqrt(4*8^2+6^2)).

FAQ

What is Inradius of Isosceles Triangle given Base and Height?

The Inradius of Isosceles triangle given Base and Height formula is defined as the length of the radius of the incircle of the isosceles triangle, calculated using its base and height and is represented as r_i = (S_Base*h)/(S_Base+sqrt(4*h^2+S_Base^2)) or Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2)). Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle & The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.

How to calculate Inradius of Isosceles Triangle given Base and Height?

The Inradius of Isosceles triangle given Base and Height formula is defined as the length of the radius of the incircle of the isosceles triangle, calculated using its base and height is calculated using Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2)). To calculate Inradius of Isosceles Triangle given Base and Height, you need Base of Isosceles Triangle (S_Base) & Height of Isosceles Triangle (h). With our tool, you need to enter the respective value for Base of Isosceles Triangle & Height of Isosceles 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 Isosceles Triangle?

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

Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)
Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))
Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)

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