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

✖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 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 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%

✖Sec (B/2) is the value of the trigonometric secant function of half of the given angle B of the triangle.ⓘ Sec (B/2) using Sides and Semi-Perimeter of Triangle [sec_(B/2)]

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Formula

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

Formula

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

Example

`"1.066004"=sqrt(("10m"*"20m")/("22m"*("22m"-"14m")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

sec_(B/2) = 1.06600358177805

STEP 3: Convert Result to Output's Unit

1.06600358177805 --> No Conversion Required

FINAL ANSWER

1.06600358177805 ≈ 1.066004 <-- Sec (B/2)

(Calculation completed in 00.020 seconds)

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

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

Surjojoti Som has created this Calculator and 50+ more calculators!

Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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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))

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

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

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

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

How to calculate Sec (B/2) using Sides and Semi-Perimeter of Triangle using this online calculator? To use this online calculator for Sec (B/2) using Sides and Semi-Perimeter of Triangle, enter Side A of Triangle (S_a), Side C of Triangle (S_c), Semiperimeter of Triangle (s) & Side B of Triangle (S_b) and hit the calculate button. Here is how the Sec (B/2) using Sides and Semi-Perimeter of Triangle calculation can be explained with given input values -> 1.066004 = sqrt((10*20)/(22*(22-14))).

FAQ

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

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

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

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