Cos (A/2) using Sides and Semi-Perimeter of Triangle Calculator

✖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 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.ⓘ Side B of Triangle [S_b]			+10% -10%
✖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.ⓘ Side C of Triangle [S_c]			+10% -10%

✖Cos (A/2) is the value of the trigonometric cosine function of half of the given angle A of the triangle.ⓘ Cos (A/2) using Sides and Semi-Perimeter of Triangle [cos_(A/2)]

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Formula

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

Formula

`"cos"_{"(A/2)"} = sqrt("s"*("s"-"S"_{"a"})/("S"_{"b"}*"S"_{"c"}))`

Example

`"0.971008"=sqrt("22m"*("22m"-"10m")/("14m"*"20m"))`

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Cos (A/2) using Sides and Semi-Perimeter of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle))
cos_(A/2) = sqrt(s*(s-S_a)/(S_b*S_c))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Cos (A/2) - Cos (A/2) is the value of the trigonometric cosine function of half of the given angle A of the triangle.
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.
Side B of Triangle - (Measured in Meter) - 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.
Side C of Triangle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Semiperimeter of Triangle: 22 Meter --> 22 Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos_(A/2) = sqrt(s*(s-S_a)/(S_b*S_c)) --> sqrt(22*(22-10)/(14*20))

Evaluating ... ...

cos_(A/2) = 0.971008312455224

STEP 3: Convert Result to Output's Unit

0.971008312455224 --> No Conversion Required

FINAL ANSWER

0.971008312455224 ≈ 0.971008 <-- Cos (A/2)

(Calculation completed in 00.004 seconds)

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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< 18 Trigonometric Ratios of Half Angles using Sides of Triangles Calculators

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

Go Tan (A/2) = sqrt(((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)))

Tan (B/2) using Sides and Semi-Perimeter of Triangle

Go Tan (B/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)))

Tan (C/2) using Sides and Semi-Perimeter of Triangle

Go Tan (C/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)))

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

Go Cot A/2 = 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)))

Cot (B/2) using Sides and Semi-Perimeter of Triangle

Go Cot B/2 = sqrt((Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle))/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cot (C/2) using Sides and Semi-Perimeter of Triangle

Go Cot C/2 = sqrt((Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle))/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)))

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

Go Cosec (A/2) = sqrt((Side B of Triangle*Side C of Triangle)/((Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cosec (B/2) using Sides and Semi-Perimeter of Triangle

Go Cosec (B/2) = sqrt((Side A of Triangle*Side C of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle)))

Cosec (C/2) using Sides and Semi-Perimeter of Triangle

Go Cosec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)))

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

Go 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))

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

Go Sin (B/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))/(Side A of Triangle*Side C of Triangle))

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

Go Sin (C/2) = sqrt(((Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle))/(Side A of Triangle*Side B of Triangle))

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

Go Sec (A/2) = sqrt((Side B of Triangle*Side C of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)))

Sec (B/2) using Sides and Semi-Perimeter of Triangle

Go Sec (B/2) = sqrt((Side A of Triangle*Side C of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)))

Sec (C/2) using Sides and Semi-Perimeter of Triangle

Go Sec (C/2) = sqrt((Side A of Triangle*Side B of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)))

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

Go Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle))

Cos (B/2) using Sides and Semi-Perimeter of Triangle

Go Cos (B/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side B of Triangle)/(Side A of Triangle*Side C of Triangle))

Cos (C/2) using Sides and Semi-Perimeter of Triangle

Go Cos (C/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side C of Triangle)/(Side A of Triangle*Side B of Triangle))

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

Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle))
cos_(A/2) = sqrt(s*(s-S_a)/(S_b*S_c))

What is a Triangle?

The Triangle is the 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 Cos (A/2) using Sides and Semi-Perimeter of Triangle?

Cos (A/2) using Sides and Semi-Perimeter of Triangle calculator uses Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle)) to calculate the Cos (A/2), The Cos (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of cos A/2 using semi-perimeter and all three sides of the triangle. Cos (A/2) is denoted by cos_(A/2) symbol.

How to calculate Cos (A/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Cos (A/2) using Sides and Semi-Perimeter of Triangle, enter Semiperimeter of Triangle (s), Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) and hit the calculate button. Here is how the Cos (A/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 0.971008 = sqrt(22*(22-10)/(14*20)).

FAQ

What is Cos (A/2) using Sides and Semi-Perimeter of Triangle?

The Cos (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of cos A/2 using semi-perimeter and all three sides of the triangle and is represented as cos_(A/2) = sqrt(s*(s-S_a)/(S_b*S_c)) or Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C 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, 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, 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 & 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.

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

The Cos (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of cos A/2 using semi-perimeter and all three sides of the triangle is calculated using Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle)). To calculate Cos (A/2) using Sides and Semi-Perimeter of Triangle, you need Semiperimeter of Triangle (s), Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c). With our tool, you need to enter the respective value for Semiperimeter of Triangle, Side A of Triangle, Side B of Triangle & Side C of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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