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Sec A using Area and Sides B and C of Triangle Formula

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Sec A is the value of the trigonometric secant function of the angle A of the triangle. Check FAQs

sec ∠A = \frac{1}{\sqrt{1 - {(\frac{2 \cdot A}{S b \cdot S c})}^{2}}}

sec ∠A - Sec A?A - Area of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?

Sec A using Area and Sides B and C of Triangle Example

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Here is how the Sec A using Area and Sides B and C of Triangle equation looks like with Values.

Here is how the Sec A using Area and Sides B and C of Triangle equation looks like with Units.

Here is how the Sec A using Area and Sides B and C of Triangle equation looks like.

1.1291 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{14 \cdot 20})}^{2}}}

1.1291 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65m²}{14m \cdot 20m})}^{2}}}

1.1291 = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{14 \cdot 20})}^{2}}}

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Sec A using Area and Sides B and C of Triangle Solution

Follow our step by step solution on how to calculate Sec A using Area and Sides B and C of Triangle?

FIRST Step Consider the formula

sec ∠A = \frac{1}{\sqrt{1 - {(\frac{2 \cdot A}{S b \cdot S c})}^{2}}}

Next Step Substitute values of Variables

∴

sec ∠A = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65m²}{14m \cdot 20m})}^{2}}}

Next Step Prepare to Evaluate

∴

sec ∠A = \frac{1}{\sqrt{1 - {(\frac{2 \cdot 65}{14 \cdot 20})}^{2}}}

Next Step Evaluate

∴

sec ∠A = 1.12906897396372

LAST Step Rounding Answer

∴

sec ∠A = 1.1291

Sec A using Area and Sides B and C of Triangle Formula Elements

Variables

Functions

Sec A

Sec A is the value of the trigonometric secant function of the angle A of the triangle.

Symbol: sec ∠A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sec A

Area of Triangle

The Area of Triangle is the amount of region or space occupied by the Triangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 using Sides and Area of Triangle category

Go Sin B using Area and Sides A and C of Triangle

sin B = \frac{2 \cdot A}{S a \cdot S c}

Go Sin A using Area and Sides B and C of Triangle

sin A = \frac{2 \cdot A}{S b \cdot S c}

Go Sin C using Area and Sides A and B of Triangle

sin C = \frac{2 \cdot A}{S a \cdot S b}

Go Cosec A using Area and Sides B and C of Triangle

cosec ∠A = \frac{S b \cdot S c}{2 \cdot A}

How to Evaluate Sec A using Area and Sides B and C of Triangle?

Sec A using Area and Sides B and C of Triangle evaluator uses Sec A = 1/sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2) to evaluate the Sec A, The Sec A using Area and Sides B and C of Triangle formula is defined as value of sos A using area and the sides B and C of the triangle. Sec A is denoted by sec ∠A symbol.

How to evaluate Sec A using Area and Sides B and C of Triangle using this online evaluator? To use this online evaluator for Sec A using Area and Sides B and C of Triangle, enter Area of Triangle (A), Side B of Triangle (S_b) & Side C of Triangle (S_c) and hit the calculate button.

FAQs on Sec A using Area and Sides B and C of Triangle

What is the formula to find Sec A using Area and Sides B and C of Triangle?

The formula of Sec A using Area and Sides B and C of Triangle is expressed as Sec A = 1/sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). Here is an example- 1.129069 = 1/sqrt(1-((2*65)/(14*20))^2).

How to calculate Sec A using Area and Sides B and C of Triangle?

With Area of Triangle (A), Side B of Triangle (S_b) & Side C of Triangle (S_c) we can find Sec A using Area and Sides B and C of Triangle using the formula - Sec A = 1/sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). This formula also uses Square Root (sqrt) function(s).

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Sec A using Area and Sides B and C of Triangle Formula

Sec A using Area and Sides B and C of Triangle Example

Sec A using Area and Sides B and C of Triangle Solution

Sec A using Area and Sides B and C of Triangle Formula Elements

Other formulas in Trigonometric Ratios using Sides and Area of Triangle category

How to Evaluate Sec A using Area and Sides B and C of Triangle?

FAQs on Sec A using Area and Sides B and C of Triangle

Variable Name