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

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

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

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

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

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

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

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

-2.5019 = - (\frac{2 \cdot 65}{\sqrt{(10 \cdot 14 + 2 \cdot 65) \cdot (10 \cdot 14 - 2 \cdot 65)}})

-2.5019 = - (\frac{2 \cdot 65m²}{\sqrt{(10m \cdot 14m + 2 \cdot 65m²) \cdot (10m \cdot 14m - 2 \cdot 65m²)}})

-2.5019 = - (\frac{2 \cdot 65}{\sqrt{(10 \cdot 14 + 2 \cdot 65) \cdot (10 \cdot 14 - 2 \cdot 65)}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

tan C = - (\frac{2 \cdot 65m²}{\sqrt{(10m \cdot 14m + 2 \cdot 65m²) \cdot (10m \cdot 14m - 2 \cdot 65m²)}})

Next Step Prepare to Evaluate

∴

tan C = - (\frac{2 \cdot 65}{\sqrt{(10 \cdot 14 + 2 \cdot 65) \cdot (10 \cdot 14 - 2 \cdot 65)}})

Next Step Evaluate

∴

tan C = -2.50185116648838

LAST Step Rounding Answer

∴

tan C = -2.5019

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

Variables

Functions

Tan C

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

Symbol: tan C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tan C

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 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

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 C using Area and Sides A and B of Triangle?

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

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

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

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

The formula of Tan C using Area and Sides A and B of Triangle is expressed as Tan C = -((2*Area of Triangle)/sqrt((Side A of Triangle*Side B of Triangle+2*Area of Triangle)*(Side A of Triangle*Side B of Triangle-2*Area of Triangle))). Here is an example- -2.501851 = -((2*65)/sqrt((10*14+2*65)*(10*14-2*65))).

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

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

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

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

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

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

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

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

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

Variable Name