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The Area of Triangle is the amount of region or space occupied by the Triangle. Check FAQs
A=re(∠A)⋅(s-Sa)
A - Area of Triangle?re(∠A) - Exradius Opposite to ∠A of Triangle?s - Semiperimeter of Triangle?Sa - Side A of Triangle?

Area of Triangle given Semiperimeter, One Side and its Exradius Example

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With units
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Here is how the Area of Triangle given Semiperimeter, One Side and its Exradius equation looks like with Values.

Here is how the Area of Triangle given Semiperimeter, One Side and its Exradius equation looks like with Units.

Here is how the Area of Triangle given Semiperimeter, One Side and its Exradius equation looks like.

60Edit=5Edit⋅(22Edit-10Edit)
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Area of Triangle given Semiperimeter, One Side and its Exradius Solution

Follow our step by step solution on how to calculate Area of Triangle given Semiperimeter, One Side and its Exradius?

FIRST Step Consider the formula
A=re(∠A)⋅(s-Sa)
Next Step Substitute values of Variables
∴ A=5m⋅(22m-10m)
Next Step Prepare to Evaluate
∴ A=5⋅(22-10)
LAST Step Evaluate
∴A=60m²

Area of Triangle given Semiperimeter, One Side and its Exradius Formula Elements

Variables
Area of Triangle
The Area of Triangle is the amount of region or space occupied by the Triangle.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Area of TriangleOpen Variable
Exradius Opposite to ∠A of Triangle
The Exradius Opposite to ∠A of 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.
Symbol: re(∠A)
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Exradius Opposite to ∠A of TriangleOpen Variable
Semiperimeter of Triangle
The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.
Symbol: s
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semiperimeter of TriangleOpen Variable
Side A of Triangle
The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Symbol: Sa
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side A of TriangleOpen Variable

Other Formulas to find Area of Triangle

​Go Area of Triangle by Heron's Formula
A=s⋅(s-Sa)⋅(s-Sb)⋅(s-Sc)
​Go Area of Triangle given Base and Height
A=12⋅Sc⋅hc
​Go Area of Triangle
A=(Sa+Sb+Sc)⋅(Sb+Sc-Sa)⋅(Sa-Sb+Sc)⋅(Sa+Sb-Sc)4
​Go Area of Triangle given Two Angles and Third Side
A=Sa2⋅sin(∠B)⋅sin(∠C)2⋅sin(π-∠B-∠C)

How to Evaluate Area of Triangle given Semiperimeter, One Side and its Exradius?

Area of Triangle given Semiperimeter, One Side and its Exradius evaluator uses Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle) to evaluate the Area of Triangle, The Area of Triangle given Semiperimeter, One Side and its Exradius formula is defined as the total region that is enclosed by the three sides of any particular triangle, calculated using its semiperimeter, one side, and its exradius. Area of Triangle is denoted by A symbol.

How to evaluate Area of Triangle given Semiperimeter, One Side and its Exradius using this online evaluator? To use this online evaluator for Area of Triangle given Semiperimeter, One Side and its Exradius, enter Exradius Opposite to ∠A of Triangle (re(∠A)), Semiperimeter of Triangle (s) & Side A of Triangle (Sa) and hit the calculate button.

FAQs on Area of Triangle given Semiperimeter, One Side and its Exradius

What is the formula to find Area of Triangle given Semiperimeter, One Side and its Exradius?
The formula of Area of Triangle given Semiperimeter, One Side and its Exradius is expressed as Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle). Here is an example- 60 = 5*(22-10).
How to calculate Area of Triangle given Semiperimeter, One Side and its Exradius?
With Exradius Opposite to ∠A of Triangle (re(∠A)), Semiperimeter of Triangle (s) & Side A of Triangle (Sa) we can find Area of Triangle given Semiperimeter, One Side and its Exradius using the formula - Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle).
What are the other ways to Calculate Area of Triangle?
Here are the different ways to Calculate Area of Triangle-
  • Area of Triangle=sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))OpenImg
  • Area of Triangle=1/2*Side C of Triangle*Height on Side C of TriangleOpenImg
  • Area of Triangle=sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4OpenImg
Can the Area of Triangle given Semiperimeter, One Side and its Exradius be negative?
No, the Area of Triangle given Semiperimeter, One Side and its Exradius, measured in Area cannot be negative.
Which unit is used to measure Area of Triangle given Semiperimeter, One Side and its Exradius?
Area of Triangle given Semiperimeter, One Side and its Exradius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Triangle given Semiperimeter, One Side and its Exradius can be measured.
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