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(r<sub>A</sub>*r<sub>B</sub>*r<sub>C</sub>*r)
More formulas
Area of a Triangle when base and height are given GO
Area of a Triangle when sides are given GO
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: √rArBrCr

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 √rArBrCr. 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 (rA), Exradius of excircle opposite ∠B (rB), Exradius of excircle opposite ∠C (rC) 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 √rArBrCr and is represented as A=sqrt(rA*rB*rC*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 √rArBrCr 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 (rA), Exradius of excircle opposite ∠B (rB), Exradius of excircle opposite ∠C (rC) 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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