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

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Tan A is the value of the trigonometric tangent function of the angle A of the triangle. Check FAQs

tan ∠A = \frac{2 \cdot A}{\sqrt{(S b \cdot S c + 2 \cdot A) \cdot (S b \cdot S c - 2 \cdot A)}}

tan ∠A - Tan A?A - Area of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?

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

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

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

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

0.5242 = \frac{2 \cdot 65}{\sqrt{(14 \cdot 20 + 2 \cdot 65) \cdot (14 \cdot 20 - 2 \cdot 65)}}

0.5242 = \frac{2 \cdot 65m²}{\sqrt{(14m \cdot 20m + 2 \cdot 65m²) \cdot (14m \cdot 20m - 2 \cdot 65m²)}}

0.5242 = \frac{2 \cdot 65}{\sqrt{(14 \cdot 20 + 2 \cdot 65) \cdot (14 \cdot 20 - 2 \cdot 65)}}

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

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

FIRST Step Consider the formula

tan ∠A = \frac{2 \cdot A}{\sqrt{(S b \cdot S c + 2 \cdot A) \cdot (S b \cdot S c - 2 \cdot A)}}

Next Step Substitute values of Variables

∴

tan ∠A = \frac{2 \cdot 65m²}{\sqrt{(14m \cdot 20m + 2 \cdot 65m²) \cdot (14m \cdot 20m - 2 \cdot 65m²)}}

Next Step Prepare to Evaluate

∴

tan ∠A = \frac{2 \cdot 65}{\sqrt{(14 \cdot 20 + 2 \cdot 65) \cdot (14 \cdot 20 - 2 \cdot 65)}}

Next Step Evaluate

∴

tan ∠A = 0.524210595054583

LAST Step Rounding Answer

∴

tan ∠A = 0.5242

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

Variables

Functions

Tan A

Tan A is the value of the trigonometric tangent function of the angle A of the triangle.

Symbol: tan ∠A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tan 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 Tan A using Area and Sides B and C of Triangle?

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

How to evaluate Tan A using Area and Sides B and C of Triangle using this online evaluator? To use this online evaluator for Tan 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 Tan A using Area and Sides B and C of Triangle

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

The formula of Tan A using Area and Sides B and C of Triangle is expressed as Tan A = (2*Area of Triangle)/sqrt((Side B of Triangle*Side C of Triangle+2*Area of Triangle)*(Side B of Triangle*Side C of Triangle-2*Area of Triangle)). Here is an example- 0.524211 = (2*65)/sqrt((14*20+2*65)*(14*20-2*65)).

How to calculate Tan 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 Tan A using Area and Sides B and C of Triangle using the formula - Tan A = (2*Area of Triangle)/sqrt((Side B of Triangle*Side C of Triangle+2*Area of Triangle)*(Side B of Triangle*Side C of Triangle-2*Area of Triangle)). This formula also uses Square Root (sqrt) function(s).

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

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

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

Tan 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 Tan A using Area and Sides B and C of Triangle?

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

Variable Name