Area of triangle given 3 exradii and inradius Calculator

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✖Exradius of excircle opposite ∠A of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠A and external angle bisectors of other two angles ⓘ Exradius of excircle opposite ∠A [r_A]			+10% -10%
✖Exradius of excircle opposite ∠B of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠B and external angle bisectors of other two angles ⓘ Exradius of excircle opposite ∠B [r_B]			+10% -10%
✖Exradius of excircle opposite ∠C of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠C and external angle bisectors of other two angles ⓘ Exradius of excircle opposite ∠C [r_C]			+10% -10%
✖Inradius of Triangle is the radius of the circle which is inscribed inside the triangleⓘ Inradius of Triangle [r]			+10% -10%

✖The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.ⓘ Area of triangle given 3 exradii and inradius [A]

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Area of triangle given 3 exradii and inradius

Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

Venkata Sai Prasanna Aradhyula has created this Calculator and 25+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 5 Other formulas that you can solve using the same Inputs

Circumradius of a triangle given 3 exradii and inradius

Circumradius of Triangle=(Exradius of excircle opposite ∠A+Exradius of excircle opposite ∠B+Exradius of excircle opposite ∠C-Inradius of Triangle)/4 GO

Inradius of a triangle given 3 exradii

Inradius of Triangle=1/(1/Exradius of excircle opposite ∠A+1/Exradius of excircle opposite ∠B+1/Exradius of excircle opposite ∠C) GO

Distance between circumcenter and incenter by Euler's theorem

Distance between circumcenter and incenter=sqrt(Circumradius of Triangle*(Circumradius of Triangle-2*Inradius of Triangle)) GO

Area of triangle given semiperimeter, one side and its exradius

Area Of Triangle=Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle -Side A) GO

Area of triangle given inradius and semiperimeter

Area Of Triangle=Inradius of Triangle*Semiperimeter Of Triangle GO

< 11 Other formulas that calculate the same Output

Area of Triangle when semiperimeter is given

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) GO

Area of Triangle given 2 angles and third side

Area Of Triangle=(Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C)) GO

Area of triangle given semiperimeter, one side and its exradius

Area Of Triangle=Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle -Side A) GO

Area of triangle given 3 points

Area Of Triangle=modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1)))) GO

Area of triangle given circumradius and sides

Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of Triangle) GO

Area of triangle given inradius and semiperimeter

Area Of Triangle=Inradius of Triangle*Semiperimeter Of Triangle GO

Area of an isosceles triangle

Area Of Triangle=(sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2) GO

Area of an isosceles triangle when length sides and angle between them are given

Area Of Triangle=(Side A*Side B*sin(Theta))/2 GO

Area of triangle given 2 sides and third angle

Area Of Triangle=Side A*Side B*sin(Angle C)/2 GO

Area of an equilateral triangle

Area Of Triangle=(sqrt(3)*(Side)^2)/4 GO

Area of an isosceles right angle triangle

Area Of Triangle=(Side A)^2/2 GO

Area of triangle given 3 exradii and inradius Formula

Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle)
A=sqrt(rA*rB*rC*r)

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Area of a Triangle when base and height are given GO

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Area of Triangle given 2 angles and third side GO

Area of triangle given 2 sides and third angle GO

Area of triangle given circumradius and sides GO

Area of triangle given inradius and semiperimeter GO

Area of triangle given semiperimeter, one side and its exradius GO

What is the area of a triangle given exradii and inradius of the triangle ?

The area of a △ABC is given by the formula: √r_Ar_Br_Cr

How to Calculate Area of triangle given 3 exradii and inradius?

Area of triangle given 3 exradii and inradius calculator uses Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle) to calculate the Area Of Triangle, The Area of triangle given 3 exradii and inradius formula is given by the formula √r_Ar_Br_Cr. Area Of Triangle and is denoted by A symbol.

How to calculate Area of triangle given 3 exradii and inradius using this online calculator? To use this online calculator for Area of triangle given 3 exradii and inradius, enter Exradius of excircle opposite ∠A (r_A), Exradius of excircle opposite ∠B (r_B), Exradius of excircle opposite ∠C (r_C) and Inradius of Triangle (r) and hit the calculate button. Here is how the Area of triangle given 3 exradii and inradius calculation can be explained with given input values -> 1.414214 = sqrt(1*1*1*2).

FAQ

What is Area of triangle given 3 exradii and inradius?

The Area of triangle given 3 exradii and inradius formula is given by the formula √r_Ar_Br_Cr and is represented as A=sqrt(r_A*r_B*r_C*r) or Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle). Exradius of excircle opposite ∠A of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠A and external angle bisectors of other two angles , Exradius of excircle opposite ∠B of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠B and external angle bisectors of other two angles , Exradius of excircle opposite ∠C of a triangle is the radius of circle formed with center as point of intersection of internal angle bisector of ∠C and external angle bisectors of other two angles and Inradius of Triangle is the radius of the circle which is inscribed inside the triangle.

How to calculate Area of triangle given 3 exradii and inradius?

The Area of triangle given 3 exradii and inradius formula is given by the formula √r_Ar_Br_Cr is calculated using Area Of Triangle=sqrt(Exradius of excircle opposite ∠A*Exradius of excircle opposite ∠B*Exradius of excircle opposite ∠C*Inradius of Triangle). To calculate Area of triangle given 3 exradii and inradius, you need Exradius of excircle opposite ∠A (r_A), Exradius of excircle opposite ∠B (r_B), Exradius of excircle opposite ∠C (r_C) and Inradius of Triangle (r). With our tool, you need to enter the respective value for Exradius of excircle opposite ∠A, Exradius of excircle opposite ∠B, Exradius of excircle opposite ∠C and Inradius of 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 Area Of Triangle?

In this formula, Area Of Triangle uses Exradius of excircle opposite ∠A, Exradius of excircle opposite ∠B, Exradius of excircle opposite ∠C and Inradius of Triangle. We can use 11 other way(s) to calculate the same, which is/are as follows -

Area Of Triangle=sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C))
Area Of Triangle=(sqrt((Side A)^2-((Side B)^2/4)))*(Side B/2)
Area Of Triangle=(Side A*Side B*sin(Theta))/2
Area Of Triangle=(Side A)^2/2
Area Of Triangle=(sqrt(3)*(Side)^2)/4
Area Of Triangle=modulus(1/2*((y1*(x3-x2))+(y2*(x1-x3))+(y3*(x2-x1))))
Area Of Triangle=(Side A^2*sin(Angle B)*sin(Angle C))/(2*sin((180*pi/180)-Angle B-Angle C))
Area Of Triangle=Side A*Side B*sin(Angle C)/2
Area Of Triangle=(Side A*Side B*Side C)/(4*Circumradius of Triangle)
Area Of Triangle=Inradius of Triangle*Semiperimeter Of Triangle
Area Of Triangle=Exradius of excircle opposite ∠A*(Semiperimeter Of Triangle -Side A)

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