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Area of Triangle using Sides A and B and Cosec of Angle C Formula

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula

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

A = \frac{S a \cdot S b}{2 \cdot \cos e c (∠C)}

A - Area of Triangle?S_a - Side A of Triangle?S_b - Side B of Triangle?∠C - Angle C of Triangle?

Area of Triangle using Sides A and B and Cosec of Angle C Example

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

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

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

65.7785 = \frac{10 \cdot 14}{2 \cdot \cos e c (110)}

65.7785m² = \frac{10m \cdot 14m}{2 \cdot \cos e c (110°)}

65.7785 = \frac{10 \cdot 14}{2 \cdot \cos e c (110)}

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Area of Triangle using Sides A and B and Cosec of Angle C Solution

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

FIRST Step Consider the formula

A = \frac{S a \cdot S b}{2 \cdot \cos e c (∠C)}

Next Step Substitute values of Variables

∴

A = \frac{10m \cdot 14m}{2 \cdot \cos e c (110°)}

Next Step Convert Units

∴

A = \frac{10m \cdot 14m}{2 \cdot \cos e c (1.9199rad)}

Next Step Prepare to Evaluate

∴

A = \frac{10 \cdot 14}{2 \cdot \cos e c (1.9199)}

Next Step Evaluate

∴

A = 65.7784834550223m²

LAST Step Rounding Answer

∴

A = 65.7785m²

Area of Triangle using Sides A and B and Cosec of Angle C Formula Elements

Variables

Functions

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

Angle C of Triangle

Angle C of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side C of the Triangle.

Symbol: ∠C

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle C of Triangle

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other Formulas to find Area of Triangle

Go Area of Triangle by Heron's Formula

A = \sqrt{s \cdot (s - S a) \cdot (s - S b) \cdot (s - S c)}

Go Area of Triangle given Base and Height

A = \frac{1}{2} \cdot S c \cdot h c

Go Area of Triangle

A = \frac{\sqrt{(S a + S b + S c) \cdot (S b + S c - S a) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{4}

Go Area of Triangle given Two Angles and Third Side

A = \frac{{S a}^{2} \cdot \sin (∠B) \cdot \sin (∠C)}{2 \cdot \sin (π - ∠B - ∠C)}

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

Area of Triangle using Sides A and B and Cosec of Angle C evaluator uses Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle)) to evaluate the Area of Triangle, The Area of Triangle using Sides A and B and Cosec of Angle C formula is defined as the region occupied inside the triangle, calculated using its two sides A & B and Cosec of Angle B. Area of Triangle is denoted by A symbol.

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

FAQs on Area of Triangle using Sides A and B and Cosec of Angle C

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

The formula of Area of Triangle using Sides A and B and Cosec of Angle C is expressed as Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle)). Here is an example- 65.77848 = (10*14)/(2*cosec(1.9198621771934)).

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

With Side A of Triangle (S_a), Side B of Triangle (S_b) & Angle C of Triangle (∠C) we can find Area of Triangle using Sides A and B and Cosec of Angle C using the formula - Area of Triangle = (Side A of Triangle*Side B of Triangle)/(2*cosec(Angle C of Triangle)). This formula also uses Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Area of Triangle?

Here are the different ways to Calculate Area of Triangle-

Area of Triangle=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))
Area of Triangle=1/2*Side C of Triangle*Height on Side C of Triangle
Area of Triangle=sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4

Can the Area of Triangle using Sides A and B and Cosec of Angle C be negative?

No, the Area of Triangle using Sides A and B and Cosec of Angle C, measured in Area cannot be negative.

Which unit is used to measure Area of Triangle using Sides A and B and Cosec of Angle C?

Area of Triangle using Sides A and B and Cosec of Angle C is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Triangle using Sides A and B and Cosec of Angle C can be measured.

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Area of Triangle using Sides A and B and Cosec of Angle C Formula

​GoArea of Triangle by Heron's Formula Formula

​GoArea of Triangle given Base and Height Formula

Area of Triangle using Sides A and B and Cosec of Angle C Example

Area of Triangle using Sides A and B and Cosec of Angle C Solution

Area of Triangle using Sides A and B and Cosec of Angle C Formula Elements

Other Formulas to find Area of Triangle

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

FAQs on Area of Triangle using Sides A and B and Cosec of Angle C

Variable Name

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula