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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
tan(C/2) = sqrt(((s-Sa)*(s-Sb))/(s*(s-Sc)))
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 (C/2) - Tan (C/2) is the value of the trigonometric tangent function of half of the given angle B.
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
tan(C/2) = sqrt(((s-Sa)*(s-Sb))/(s*(s-Sc))) --> sqrt(((22-10)*(22-14))/(22*(22-20)))
Evaluating ... ...
tan(C/2) = 1.47709789175199
STEP 3: Convert Result to Output's Unit
1.47709789175199 --> No Conversion Required
FINAL ANSWER
1.47709789175199 1.477098 <-- Tan (C/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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Trigonometric Ratios of Half Angles using Sides of Triangles Calculators

Sin (A/2) using Sides and Semi-Perimeter of Triangle
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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))
Cos (A/2) using Sides and Semi-Perimeter of Triangle
​ LaTeX ​ Go Cos (A/2) = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)/(Side B of Triangle*Side C of Triangle))

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

​LaTeX ​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)))
tan(C/2) = sqrt(((s-Sa)*(s-Sb))/(s*(s-Sc)))

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

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

How to calculate Tan (C/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Tan (C/2) using Sides and Semi-Perimeter of Triangle, enter Semiperimeter of Triangle (s), Side A of Triangle (Sa), Side B of Triangle (Sb) & Side C of Triangle (Sc) and hit the calculate button. Here is how the Tan (C/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 1.477098 = sqrt(((22-10)*(22-14))/(22*(22-20))).

FAQ

What is Tan (C/2) using Sides and Semi-Perimeter of Triangle?
The Tan (C/2) using Sides and Semi-Perimeter of Triangle formula is defined as the value of tan C/2 using semi-perimeter and all three sides of the triangle and is represented as tan(C/2) = sqrt(((s-Sa)*(s-Sb))/(s*(s-Sc))) or 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))). 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 Tan (C/2) using Sides and Semi-Perimeter of Triangle?
The Tan (C/2) using Sides and Semi-Perimeter of Triangle formula is defined as the value of tan C/2 using semi-perimeter and all three sides of the triangle is calculated using 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))). To calculate Tan (C/2) using Sides and Semi-Perimeter of Triangle, you need Semiperimeter of Triangle (s), Side A of Triangle (Sa), Side B of Triangle (Sb) & Side C of Triangle (Sc). 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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