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Inradius of Isosceles Triangle Formula

GoCircumradius of Isosceles Triangle Formula

GoInradius of Isosceles Triangle given Legs and Base Angle Formula

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The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle. Check FAQs

r i = \frac{S Base}{2} \cdot \sqrt{\frac{2 \cdot S Legs - S Base}{2 \cdot S Legs + S Base}}

r_i - Inradius of Isosceles Triangle?S_Base - Base of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?

Inradius of Isosceles Triangle Example

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Here is how the Inradius of Isosceles Triangle equation looks like with Values.

Here is how the Inradius of Isosceles Triangle equation looks like with Units.

Here is how the Inradius of Isosceles Triangle equation looks like.

2.1213 = \frac{6}{2} \cdot \sqrt{\frac{2 \cdot 9 - 6}{2 \cdot 9 + 6}}

2.1213m = \frac{6m}{2} \cdot \sqrt{\frac{2 \cdot 9m - 6m}{2 \cdot 9m + 6m}}

2.1213 = \frac{6}{2} \cdot \sqrt{\frac{2 \cdot 9 - 6}{2 \cdot 9 + 6}}

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Inradius of Isosceles Triangle Solution

Follow our step by step solution on how to calculate Inradius of Isosceles Triangle?

FIRST Step Consider the formula

r i = \frac{S Base}{2} \cdot \sqrt{\frac{2 \cdot S Legs - S Base}{2 \cdot S Legs + S Base}}

Next Step Substitute values of Variables

∴

r i = \frac{6m}{2} \cdot \sqrt{\frac{2 \cdot 9m - 6m}{2 \cdot 9m + 6m}}

Next Step Prepare to Evaluate

∴

r i = \frac{6}{2} \cdot \sqrt{\frac{2 \cdot 9 - 6}{2 \cdot 9 + 6}}

Next Step Evaluate

∴

r i = 2.12132034355964m

LAST Step Rounding Answer

∴

r i = 2.1213m

Inradius of Isosceles Triangle Formula Elements

Variables

Functions

Inradius of Isosceles Triangle

The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Isosceles Triangle

Base of Isosceles Triangle

Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

Symbol: S_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base of Isosceles Triangle

Legs of Isosceles Triangle

The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

Symbol: S_Legs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Legs of Isosceles Triangle

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.

Syntax: sqrt(Number)

Other Formulas to find Inradius of Isosceles Triangle

Go Circumradius of Isosceles Triangle

r i = \frac{{S Legs}^{2}}{\sqrt{4 \cdot {S Legs}^{2} - {S Base}^{2}}}

Go Inradius of Isosceles Triangle given Legs and Base Angle

r i = S Legs \cdot \cos (∠ Base) \cdot \tan (\frac{∠ Base}{2})

Go Inradius of Isosceles Triangle given Base and Height

r i = \frac{S Base \cdot h}{S Base + \sqrt{4 \cdot h^{2} + {S Base}^{2}}}

How to Evaluate Inradius of Isosceles Triangle?

Inradius of Isosceles Triangle evaluator uses 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)) to evaluate the Inradius of Isosceles Triangle, Inradius of Isosceles Triangle formula is defined as the length of the radius of the circle which is the largest circle inside the triangle, it touches (is tangent to) the three sides. Inradius of Isosceles Triangle is denoted by r_i symbol.

How to evaluate Inradius of Isosceles Triangle using this online evaluator? To use this online evaluator for Inradius of Isosceles Triangle, enter Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs) and hit the calculate button.

FAQs on Inradius of Isosceles Triangle

What is the formula to find Inradius of Isosceles Triangle?

The formula of Inradius of Isosceles Triangle is expressed as 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)). Here is an example- 2.12132 = 6/2*sqrt((2*9-6)/(2*9+6)).

How to calculate Inradius of Isosceles Triangle?

With Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs) we can find Inradius of Isosceles Triangle using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inradius of Isosceles Triangle?

Here are the different ways to Calculate Inradius of Isosceles Triangle-

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

Can the Inradius of Isosceles Triangle be negative?

No, the Inradius of Isosceles Triangle, measured in Length cannot be negative.

Which unit is used to measure Inradius of Isosceles Triangle?

Inradius of Isosceles Triangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Isosceles Triangle can be measured.

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Inradius of Isosceles Triangle Formula

​GoCircumradius of Isosceles Triangle Formula

​GoInradius of Isosceles Triangle given Legs and Base Angle Formula

Inradius of Isosceles Triangle Example

Inradius of Isosceles Triangle Solution

Inradius of Isosceles Triangle Formula Elements

Other Formulas to find Inradius of Isosceles Triangle

How to Evaluate Inradius of Isosceles Triangle?

FAQs on Inradius of Isosceles Triangle

Variable Name

GoCircumradius of Isosceles Triangle Formula

GoInradius of Isosceles Triangle given Legs and Base Angle Formula