FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula

Fx Copy

LaTeX Copy

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 B and C and Cosec of Angle A Example

With values

With units

Only example

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

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

Here is how the Area of Triangle using Sides B and C and Cosec of Angle A 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)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Area of Triangle using Sides B and C and Cosec of Angle A

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

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

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 B and C and Cosec of Angle A 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 B and C and Cosec of Angle A?

Area of Triangle using Sides B and C and Cosec of Angle A 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 B and C and Cosec of Angle A 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 B and C and Cosec of Angle A using this online evaluator? To use this online evaluator for Area of Triangle using Sides B and C and Cosec of Angle A, 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 B and C and Cosec of Angle A

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

The formula of Area of Triangle using Sides B and C and Cosec of Angle A 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 B and C and Cosec of Angle A?

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 B and C and Cosec of Angle A 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 B and C and Cosec of Angle A be negative?

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

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

Area of Triangle using Sides B and C and Cosec of Angle A 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 B and C and Cosec of Angle A can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoArea of Triangle by Heron's Formula Formula

​GoArea of Triangle given Base and Height Formula

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

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

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

Other Formulas to find Area of Triangle

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

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

Variable Name

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula