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

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Tan (A/2) is the value of the trigonometric tangent function of half of the given angle A of the triangle. Check FAQs

tan (A/2) = \sqrt{\frac{(s - S b) \cdot (s - S c)}{s \cdot (s - S a)}}

tan_(A/2) - Tan (A/2)?s - Semiperimeter of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?S_a - Side A of Triangle?

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

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

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

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

0.2462 = \sqrt{\frac{(22 - 14) \cdot (22 - 20)}{22 \cdot (22 - 10)}}

0.2462 = \sqrt{\frac{(22m - 14m) \cdot (22m - 20m)}{22m \cdot (22m - 10m)}}

0.2462 = \sqrt{\frac{(22 - 14) \cdot (22 - 20)}{22 \cdot (22 - 10)}}

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

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

FIRST Step Consider the formula

tan (A/2) = \sqrt{\frac{(s - S b) \cdot (s - S c)}{s \cdot (s - S a)}}

Next Step Substitute values of Variables

∴

tan (A/2) = \sqrt{\frac{(22m - 14m) \cdot (22m - 20m)}{22m \cdot (22m - 10m)}}

Next Step Prepare to Evaluate

∴

tan (A/2) = \sqrt{\frac{(22 - 14) \cdot (22 - 20)}{22 \cdot (22 - 10)}}

Next Step Evaluate

∴

tan (A/2) = 0.246182981958665

LAST Step Rounding Answer

∴

tan (A/2) = 0.2462

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

Variables

Functions

Tan (A/2)

Tan (A/2) is the value of the trigonometric tangent function of half of the given angle A of the triangle.

Symbol: tan_(A/2)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tan (A/2)

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.

Formulas to find Semiperimeter of Triangle

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: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

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: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

Side A of 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.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

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)

Other formulas in Trigonometric Ratios of Half Angles using Sides of Triangles category

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

sin (A/2) = \sqrt{\frac{(s - S b) \cdot (s - S c)}{S b \cdot S c}}

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

sin (B/2) = \sqrt{\frac{(s - S a) \cdot (s - S c)}{S a \cdot S c}}

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

sin (C/2) = \sqrt{\frac{(s - S a) \cdot (s - S b)}{S a \cdot S b}}

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

cos (A/2) = \sqrt{s \cdot \frac{s - S a}{S b \cdot S c}}

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

Tan (A/2) using Sides and Semi-Perimeter of Triangle evaluator 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 evaluate 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 evaluate Tan (A/2) using Sides and Semi-Perimeter of Triangle using this online evaluator? To use this online evaluator 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.

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

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

The formula of Tan (A/2) using Sides and Semi-Perimeter of Triangle is expressed as 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))). Here is an example- 0.246183 = sqrt(((22-14)*(22-20))/(22*(22-10))).

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

With Semiperimeter of Triangle (s), Side B of Triangle (S_b), Side C of Triangle (S_c) & Side A of Triangle (S_a) we can find Tan (A/2) using Sides and Semi-Perimeter of Triangle using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

Other formulas in Trigonometric Ratios of Half Angles using Sides of Triangles category

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

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

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