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

✖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.ⓘ Exradius Opposite to ∠A of Triangle [r_e(∠A)]			+10% -10%
✖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.ⓘ Semiperimeter of Triangle [s]			+10% -10%
✖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.ⓘ Side A of Triangle [S_a]			+10% -10%

✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle given Semiperimeter, One Side and its Exradius [A]

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)
A = r_e(∠A)*(s-S_a)
This formula uses 4 Variables

Variables Used

Area of Triangle - (Measured in Square Meter) - The Area of Triangle is the amount of region or space occupied by the Triangle.
Exradius Opposite to ∠A of Triangle - (Measured in Meter) - 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.
Semiperimeter of Triangle - (Measured in Meter) - 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.
Side A of Triangle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Exradius Opposite to ∠A of Triangle: 5 Meter --> 5 Meter No Conversion Required
Semiperimeter of Triangle: 22 Meter --> 22 Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = r_e(∠A)*(s-S_a) --> 5*(22-10)

Evaluating ... ...

A = 60

STEP 3: Convert Result to Output's Unit

60 Square Meter --> No Conversion Required

FINAL ANSWER

60 Square Meter <-- Area of Triangle

(Calculation completed in 00.020 seconds)

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Created by Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

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< Area of Triangle Calculators

Area of Triangle

LaTeX Go 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))/4

Area of Triangle by Heron's Formula

LaTeX Go 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))

Area of Triangle given Two Angles and Third Side

LaTeX Go Area of Triangle = (Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))

Area of Triangle given Base and Height

LaTeX Go Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle

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

LaTeX Go

Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)
A = r_e(∠A)*(s-S_a)

What is a Triangle ?

A Triangle is a type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

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

Area of Triangle given Semiperimeter, One Side and its Exradius calculator uses Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle) to calculate 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 calculate Area of Triangle given Semiperimeter, One Side and its Exradius using this online calculator? To use this online calculator for Area of Triangle given Semiperimeter, One Side and its Exradius, enter Exradius Opposite to ∠A of Triangle (r_e(∠A)), Semiperimeter of Triangle (s) & Side A of Triangle (S_a) and hit the calculate button. Here is how the Area of Triangle given Semiperimeter, One Side and its Exradius calculation can be explained with given input values -> 60 = 5*(22-10).

FAQ

What is Area of Triangle given Semiperimeter, One Side and its Exradius?

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 and is represented as A = r_e(∠A)*(s-S_a) or Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side 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, 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 & 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.

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

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 is calculated using Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle). To calculate Area of Triangle given Semiperimeter, One Side and its Exradius, you need Exradius Opposite to ∠A of Triangle (r_e(∠A)), Semiperimeter of Triangle (s) & Side A of Triangle (S_a). With our tool, you need to enter the respective value for Exradius Opposite to ∠A of Triangle, Semiperimeter of Triangle & Side A 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 Opposite to ∠A of Triangle, Semiperimeter of Triangle & Side A of Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle
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))/4

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