Area of Triangle given Side A and Cosec of All Three Angles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C)
A = (Sa^2*cosec ∠A)/(2*cosec ∠B*cosec ∠C)
This formula uses 5 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.
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.
Cosec A - Cosec A is the value of the trigonometric cosecant function of the angle A of the triangle.
Cosec B - Cosec B is the value of the trigonometric cosecant function of the angle B of the triangle.
Cosec C - Cosec C is the value of the trigonometric cosecant function of the angle C of the triangle.
STEP 1: Convert Input(s) to Base Unit
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Cosec A: 2.04 --> No Conversion Required
Cosec B: 1.56 --> No Conversion Required
Cosec C: 1.06 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (Sa^2*cosec ∠A)/(2*cosec ∠B*cosec ∠C) --> (10^2*2.04)/(2*1.56*1.06)
Evaluating ... ...
A = 61.6835994194485
STEP 3: Convert Result to Output's Unit
61.6835994194485 Square Meter --> No Conversion Required
FINAL ANSWER
61.6835994194485 61.6836 Square Meter <-- Area of Triangle
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Surjojoti Som
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
Surjojoti Som has created this Calculator and 100+ more calculators!
Verifier Image
Verified by Harsh Raj
Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
Harsh Raj has verified this Calculator and 50+ more calculators!

20 Area of Triangle Calculators

Area of Triangle
​ 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
​ 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
​ 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 Three Exradii and Inradius
​ Go Area of Triangle = sqrt(Exradius Opposite to ∠A of Triangle*Exradius Opposite to ∠B of Triangle*Exradius Opposite to ∠C of Triangle*Inradius of Triangle)
Area of Triangle given Circumradius and Sides
​ Go Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle)
Area of Triangle using Sides A and B and Cosec of Angle C
​ Go Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle))
Area of Triangle using Sides B and C and Cosec of Angle A
​ Go Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle))
Area of Triangle using Sides A and C and Cosec of Angle B
​ Go Area of Triangle = (Side A of Triangle*Side C of Triangle)/(2*cosec(Angle B of Triangle))
Area of Triangle given Sides B and C and Sine of Angle A
​ Go Area of Triangle = (Side B of Triangle*Side C of Triangle)/2*(sin(Angle A of Triangle))
Area of Triangle given Sides A and C and Sine of Angle B
​ Go Area of Triangle = (Side A of Triangle*Side C of Triangle)/2*(sin(Angle B of Triangle))
Area of Triangle given Two Sides and Third Angle
​ Go Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2
Area of Triangle given Semiperimeter, One Side and its Exradius
​ Go Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)
Area of Triangle given Side A and Cosec of All Three Angles
​ Go Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C)
Area of Triangle given Side B and Cosec of All Three Angles
​ Go Area of Triangle = (Side B of Triangle^2*Cosec B)/(2*Cosec A*Cosec C)
Area of Triangle given Side C and Cosec of All Three Angles
​ Go Area of Triangle = (Side C of Triangle^2*Cosec C)/(2*Cosec A*Cosec B)
Area of Triangle given Side A and Sine of All Three Angles
​ Go Area of Triangle = (Side A of Triangle^2*Sin B*Sin C)/(2*Sin A)
Area of Triangle given Side B and Sine of All Three Angles
​ Go Area of Triangle = (Side B of Triangle^2*Sin A*Sin C)/(2*Sin B)
Area of Triangle given Side C and Sine of All Three Angles
​ Go Area of Triangle = (Side C of Triangle^2*Sin A*Sin B)/(2*Sin C)
Area of Triangle given Base and Height
​ Go Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle
Area of Triangle given Inradius and Semiperimeter
​ Go Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle

Area of Triangle given Side A and Cosec of All Three Angles Formula

Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C)
A = (Sa^2*cosec ∠A)/(2*cosec ∠B*cosec ∠C)

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 Side A and Cosec of All Three Angles?

Area of Triangle given Side A and Cosec of All Three Angles calculator uses Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C) to calculate the Area of Triangle, The Area of Triangle given Side A and Cosec of All Three Angles formula is defined as the region occupied inside the triangle, calculated using it's side A and cosec of all three angles. Area of Triangle is denoted by A symbol.

How to calculate Area of Triangle given Side A and Cosec of All Three Angles using this online calculator? To use this online calculator for Area of Triangle given Side A and Cosec of All Three Angles, enter Side A of Triangle (Sa), Cosec A (cosec ∠A), Cosec B (cosec ∠B) & Cosec C (cosec ∠C) and hit the calculate button. Here is how the Area of Triangle given Side A and Cosec of All Three Angles calculation can be explained with given input values -> 61.6836 = (10^2*2.04)/(2*1.56*1.06).

FAQ

What is Area of Triangle given Side A and Cosec of All Three Angles?
The Area of Triangle given Side A and Cosec of All Three Angles formula is defined as the region occupied inside the triangle, calculated using it's side A and cosec of all three angles and is represented as A = (Sa^2*cosec ∠A)/(2*cosec ∠B*cosec ∠C) or Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C). 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, Cosec A is the value of the trigonometric cosecant function of the angle A of the triangle, Cosec B is the value of the trigonometric cosecant function of the angle B of the triangle & Cosec C is the value of the trigonometric cosecant function of the angle C of the triangle.
How to calculate Area of Triangle given Side A and Cosec of All Three Angles?
The Area of Triangle given Side A and Cosec of All Three Angles formula is defined as the region occupied inside the triangle, calculated using it's side A and cosec of all three angles is calculated using Area of Triangle = (Side A of Triangle^2*Cosec A)/(2*Cosec B*Cosec C). To calculate Area of Triangle given Side A and Cosec of All Three Angles, you need Side A of Triangle (Sa), Cosec A (cosec ∠A), Cosec B (cosec ∠B) & Cosec C (cosec ∠C). With our tool, you need to enter the respective value for Side A of Triangle, Cosec A, Cosec B & Cosec C 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 Side A of Triangle, Cosec A, Cosec B & Cosec C. We can use 19 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
  • 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 = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2
  • Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle)
  • Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle
  • Area of Triangle = sqrt(Exradius Opposite to ∠A of Triangle*Exradius Opposite to ∠B of Triangle*Exradius Opposite to ∠C of Triangle*Inradius of Triangle)
  • Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)
  • Area of Triangle = (Side B of Triangle*Side C of Triangle)/2*(sin(Angle A of Triangle))
  • Area of Triangle = (Side A of Triangle*Side C of Triangle)/2*(sin(Angle B of Triangle))
  • Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle))
  • Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle))
  • Area of Triangle = (Side A of Triangle*Side C of Triangle)/(2*cosec(Angle B of Triangle))
  • Area of Triangle = (Side A of Triangle^2*Sin B*Sin C)/(2*Sin A)
  • Area of Triangle = (Side B of Triangle^2*Sin A*Sin C)/(2*Sin B)
  • Area of Triangle = (Side C of Triangle^2*Sin A*Sin B)/(2*Sin C)
  • Area of Triangle = (Side B of Triangle^2*Cosec B)/(2*Cosec A*Cosec C)
  • Area of Triangle = (Side C of Triangle^2*Cosec C)/(2*Cosec A*Cosec B)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!