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The Area of Triangle is the amount of region or space occupied by the Triangle. Check FAQs
A=Sc⋅Sa⋅sin(B/2)⋅cos(B/2)
A - Area of Triangle?Sc - Side C of Triangle?Sa - Side A of Triangle?sin(B/2) - Sin (B/2)?cos(B/2) - Cos (B/2)?

Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) Example

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Here is how the Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) equation looks like with Values.

Here is how the Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) equation looks like with Units.

Here is how the Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) equation looks like.

64.2276Edit=20Edit⋅10Edit⋅0.342Edit⋅0.939Edit
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Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) Solution

Follow our step by step solution on how to calculate Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)?

FIRST Step Consider the formula
A=Sc⋅Sa⋅sin(B/2)⋅cos(B/2)
Next Step Substitute values of Variables
∴ A=20m⋅10m⋅0.342⋅0.939
Next Step Prepare to Evaluate
∴ A=20⋅10⋅0.342⋅0.939
LAST Step Evaluate
∴A=64.2276m²

Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) 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
Side C of Triangle
The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
Symbol: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side C 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
Sin (B/2)
Sin (B/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.
Symbol: sin(B/2)
Measurement: NAUnit: Unitless
Note: Value should be between -1.01 to 1.01.
Formulas to find Sin (B/2)Open Variable
Cos (B/2)
Cos (B/2) is the value of the trigonometric cosine function of half of the given angle B of the triangle.
Symbol: cos(B/2)
Measurement: NAUnit: Unitless
Note: Value should be between -1.01 to 1.01.
Formulas to find Cos (B/2)Open Variable

Credits

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Created by Surjojoti Som LinkedIn Logo
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
Surjojoti Som has created this Formula and 200+ more formulas!
Verifier Image
Verified by Nayana Phulphagar LinkedIn Logo
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Area of Triangle

​Go Area of Triangle using Sides B, C and Sin (A/2) and Cos (A/2)
A=Sb⋅Sc⋅sin(A/2)⋅cos(A/2)
​Go Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)
A=Sa⋅Sb⋅sin(C/2)⋅cos(C/2)
​Go Area of Triangle using Sides A, B and Cosec (C/2) and Sec (C/2)
A=Sa⋅Sbcosec(C/2)⋅sec(C/2)
​Go Area of Triangle using Sides B, C and Cosec (A/2) and Sec (A/2)
A=Sb⋅Sccosec(A/2)⋅sec(A/2)

How to Evaluate Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)?

Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) evaluator uses Area of Triangle = Side C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2) to evaluate the Area of Triangle, The Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) formula is defined as the value of the area of the triangle using the sides A & C and the trigonometric half ratios Sin B/2 and Cos B/2. Area of Triangle is denoted by A symbol.

How to evaluate Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) using this online evaluator? To use this online evaluator for Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2), enter Side C of Triangle (Sc), Side A of Triangle (Sa), Sin (B/2) (sin(B/2)) & Cos (B/2) (cos(B/2)) and hit the calculate button.

FAQs on Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)

What is the formula to find Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)?
The formula of Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) is expressed as Area of Triangle = Side C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2). Here is an example- 63.852 = 20*10*0.342*0.939.
How to calculate Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)?
With Side C of Triangle (Sc), Side A of Triangle (Sa), Sin (B/2) (sin(B/2)) & Cos (B/2) (cos(B/2)) we can find Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) using the formula - Area of Triangle = Side C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2).
What are the other ways to Calculate Area of Triangle?
Here are the different ways to Calculate Area of Triangle-
  • Area of Triangle=Side B of Triangle*Side C of Triangle*Sin (A/2)*Cos (A/2)OpenImg
  • Area of Triangle=Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2)OpenImg
  • Area of Triangle=(Side A of Triangle*Side B of Triangle)/(Cosec (C/2)*Sec (C/2))OpenImg
Can the Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) be negative?
No, the Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2), measured in Area cannot be negative.
Which unit is used to measure Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)?
Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2) 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 using Sides A, C and Sin (B/2) and Cos (B/2) can be measured.
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