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

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

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

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

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

67.6329Edit=14Edit⋅20Edit⋅0.25Edit1.035Edit
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Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2) Solution

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

FIRST Step Consider the formula
A=Sb⋅Sc⋅sin(A/2)sec(A/2)
Next Step Substitute values of Variables
∴ A=14m⋅20m⋅0.251.035
Next Step Prepare to Evaluate
∴ A=14⋅20⋅0.251.035
Next Step Evaluate
∴A=67.6328502415459m²
LAST Step Rounding Answer
∴A=67.6329m²

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

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, C and Sin (B/2) and Cos (B/2)
A=Sc⋅Sa⋅sin(B/2)⋅cos(B/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)

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

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

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

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

What is the formula to find Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2)?
The formula of Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2) is expressed as Area of Triangle = (Side B of Triangle*Side C of Triangle*Sin (A/2))/Sec (A/2). Here is an example- 67.96117 = (14*20*0.25)/1.035.
How to calculate Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2)?
With Side B of Triangle (Sb), Side C of Triangle (Sc), Sin (A/2) (sin(A/2)) & Sec (A/2) (sec(A/2)) we can find Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2) using the formula - Area of Triangle = (Side B of Triangle*Side C of Triangle*Sin (A/2))/Sec (A/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 C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2)OpenImg
  • Area of Triangle=Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2)OpenImg
Can the Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2) be negative?
No, the Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2), measured in Area cannot be negative.
Which unit is used to measure Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/2)?
Area of Triangle using Sides B, C and Sin (A/2) and Sec (A/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 B, C and Sin (A/2) and Sec (A/2) can be measured.
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