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

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

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

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

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

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

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

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

0.8553 = \frac{2 \cdot 65}{\sqrt{(10 \cdot 20 + 2 \cdot 65) \cdot (10 \cdot 20 - 2 \cdot 65)}}

0.8553 = \frac{2 \cdot 65m²}{\sqrt{(10m \cdot 20m + 2 \cdot 65m²) \cdot (10m \cdot 20m - 2 \cdot 65m²)}}

0.8553 = \frac{2 \cdot 65}{\sqrt{(10 \cdot 20 + 2 \cdot 65) \cdot (10 \cdot 20 - 2 \cdot 65)}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

tan ∠B = \frac{2 \cdot 65m²}{\sqrt{(10m \cdot 20m + 2 \cdot 65m²) \cdot (10m \cdot 20m - 2 \cdot 65m²)}}

Next Step Prepare to Evaluate

∴

tan ∠B = \frac{2 \cdot 65}{\sqrt{(10 \cdot 20 + 2 \cdot 65) \cdot (10 \cdot 20 - 2 \cdot 65)}}

Next Step Evaluate

∴

tan ∠B = 0.8553372034477

LAST Step Rounding Answer

∴

tan ∠B = 0.8553

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

Variables

Functions

Tan B

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

Symbol: tan ∠B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tan B

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 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

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 B using Area and Sides A and C of Triangle?

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

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

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

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

The formula of Tan B using Area and Sides A and C of Triangle is expressed as Tan B = (2*Area of Triangle)/sqrt((Side A of Triangle*Side C of Triangle+2*Area of Triangle)*(Side A of Triangle*Side C of Triangle-2*Area of Triangle)). Here is an example- 0.855337 = (2*65)/sqrt((10*20+2*65)*(10*20-2*65)).

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

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

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

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

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

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

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

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

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

Variable Name