Sin (A/2) using Sides and Semi-Perimeter of Triangle Formula

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Sin (A/2) is the value of the trigonometric sine function of half of the given angle A of the triangle. Check FAQs
sin(A/2)=(s-Sb)(s-Sc)SbSc
sin(A/2) - Sin (A/2)?s - Semiperimeter of Triangle?Sb - Side B of Triangle?Sc - Side C of Triangle?

Sin (A/2) using Sides and Semi-Perimeter of Triangle Example

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Here is how the Sin (A/2) using Sides and Semi-Perimeter of Triangle equation looks like with Values.

Here is how the Sin (A/2) using Sides and Semi-Perimeter of Triangle equation looks like with Units.

Here is how the Sin (A/2) using Sides and Semi-Perimeter of Triangle equation looks like.

0.239Edit=(22Edit-14Edit)(22Edit-20Edit)14Edit20Edit
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Sin (A/2) using Sides and Semi-Perimeter of Triangle Solution

Follow our step by step solution on how to calculate Sin (A/2) using Sides and Semi-Perimeter of Triangle?

FIRST Step Consider the formula
sin(A/2)=(s-Sb)(s-Sc)SbSc
Next Step Substitute values of Variables
sin(A/2)=(22m-14m)(22m-20m)14m20m
Next Step Prepare to Evaluate
sin(A/2)=(22-14)(22-20)1420
Next Step Evaluate
sin(A/2)=0.239045721866879
LAST Step Rounding Answer
sin(A/2)=0.239

Sin (A/2) using Sides and Semi-Perimeter of Triangle Formula Elements

Variables
Functions
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.
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.
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.
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.
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Credits

Creator Image
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 in Trigonometric Ratios of Half Angles using Sides of Triangles category

​Go Sin (B/2) using Sides and Semi-Perimeter of Triangle
sin(B/2)=(s-Sa)(s-Sc)SaSc
​Go Sin (C/2) using Sides and Semi-Perimeter of Triangle
sin(C/2)=(s-Sa)(s-Sb)SaSb
​Go Cos (A/2) using Sides and Semi-Perimeter of Triangle
cos(A/2)=ss-SaSbSc
​Go Cos (B/2) using Sides and Semi-Perimeter of Triangle
cos(B/2)=ss-SbSaSc

How to Evaluate Sin (A/2) using Sides and Semi-Perimeter of Triangle?

Sin (A/2) using Sides and Semi-Perimeter of Triangle evaluator uses Sin (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side B of Triangle*Side C of Triangle)) to evaluate the Sin (A/2), The Sin (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of sin A/2 using semi-perimeter and the sides B and C of the triangle. Sin (A/2) is denoted by sin(A/2) symbol.

How to evaluate Sin (A/2) using Sides and Semi-Perimeter of Triangle using this online evaluator? To use this online evaluator for Sin (A/2) using Sides and Semi-Perimeter of Triangle, enter Semiperimeter of Triangle (s), Side B of Triangle (Sb) & Side C of Triangle (Sc) and hit the calculate button.

FAQs on Sin (A/2) using Sides and Semi-Perimeter of Triangle

What is the formula to find Sin (A/2) using Sides and Semi-Perimeter of Triangle?
The formula of Sin (A/2) using Sides and Semi-Perimeter of Triangle is expressed as Sin (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side B of Triangle*Side C of Triangle)). Here is an example- 0.239046 = sqrt(((22-14)*(22-20))/(14*20)).
How to calculate Sin (A/2) using Sides and Semi-Perimeter of Triangle?
With Semiperimeter of Triangle (s), Side B of Triangle (Sb) & Side C of Triangle (Sc) we can find Sin (A/2) using Sides and Semi-Perimeter of Triangle using the formula - Sin (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side B of Triangle*Side C of Triangle)). This formula also uses Square Root (sqrt) function(s).
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