Tan (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 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%
✖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%

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

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Formula

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

Formula

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

Example

`"0.246183"=sqrt((("22m"-"14m")*("22m"-"20m"))/("22m"*("22m"-"10m")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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_(A/2) = sqrt(((s-S_b)*(s-S_c))/(s*(s-S_a)))
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

Tan (A/2) - Tan (A/2) is the value of the trigonometric tangent 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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Semiperimeter of Triangle: 22 Meter --> 22 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
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

tan_(A/2) = 0.246182981958665

STEP 3: Convert Result to Output's Unit

0.246182981958665 --> No Conversion Required

FINAL ANSWER

0.246182981958665 ≈ 0.246183 <-- Tan (A/2)

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Trigonometric Ratios of Half Angles using Sides of Triangles » Tan (A/2) using Sides and Semi-Perimeter of Triangle

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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))

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

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

Tan (A/2) using Sides and Semi-Perimeter of Triangle calculator uses 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))) to calculate the Tan (A/2), The Tan (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of tan A/2 using semi-perimeter and all three sides of the triangle. Tan (A/2) is denoted by tan_(A/2) symbol.

How to calculate Tan (A/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Tan (A/2) using Sides and Semi-Perimeter of Triangle, enter Semiperimeter of Triangle (s), Side B of Triangle (S_b), Side C of Triangle (S_c) & Side A of Triangle (S_a) and hit the calculate button. Here is how the Tan (A/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 0.246183 = sqrt(((22-14)*(22-20))/(22*(22-10))).

FAQ

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

The Tan (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of tan A/2 using semi-perimeter and all three sides of the triangle and is represented as tan_(A/2) = sqrt(((s-S_b)*(s-S_c))/(s*(s-S_a))) or 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))). 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 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 & 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.

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

The Tan (A/2) using Sides and Semi-Perimeter of Triangle formula is defined as value of tan A/2 using semi-perimeter and all three sides of the triangle is calculated using 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))). To calculate Tan (A/2) using Sides and Semi-Perimeter of Triangle, you need Semiperimeter of Triangle (s), Side B of Triangle (S_b), Side C of Triangle (S_c) & Side A of Triangle (S_a). With our tool, you need to enter the respective value for Semiperimeter of Triangle, Side B of Triangle, Side C of Triangle & Side A 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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