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

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

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

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

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

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

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

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

1.0299 = \sqrt{\frac{14 \cdot 20}{22 \cdot (22 - 10)}}

1.0299 = \sqrt{\frac{14m \cdot 20m}{22m \cdot (22m - 10m)}}

1.0299 = \sqrt{\frac{14 \cdot 20}{22 \cdot (22 - 10)}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

sec (A/2) = 1.02985730108887

LAST Step Rounding Answer

∴

sec (A/2) = 1.0299

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

Variables

Functions

Sec (A/2)

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

Symbol: sec_(A/2)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sec (A/2)

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

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

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

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

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

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

The formula of Sec (A/2) using Sides and Semi-Perimeter of Triangle is expressed as Sec (A/2) = sqrt((Side B of Triangle*Side C of Triangle)/(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle))). Here is an example- 1.029857 = sqrt((14*20)/(22*(22-10))).

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

With Side B of Triangle (S_b), Side C of Triangle (S_c), Semiperimeter of Triangle (s) & Side A of Triangle (S_a) we can find Sec (A/2) using Sides and Semi-Perimeter of Triangle using the formula - Sec (A/2) = sqrt((Side B 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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Sec (A/2) using Sides and Semi-Perimeter of Triangle Formula

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

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

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

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

Variable Name