FormulaDen.com

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

Area of Triangle given Side A and Sine of All Three Angles 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}^{2} \cdot sin B \cdot sin C}{2 \cdot sin A}

A - Area of Triangle?S_a - Side A of Triangle?sin B - Sin B?sin C - Sin C?sin A - Sin A?

Area of Triangle given Side A and Sine of All Three Angles Example

With values

With units

Only example

Here is how the Area of Triangle given Side A and Sine of All Three Angles equation looks like with Values.

Here is how the Area of Triangle given Side A and Sine of All Three Angles equation looks like with Units.

Here is how the Area of Triangle given Side A and Sine of All Three Angles equation looks like.

61.3878 = \frac{10^{2} \cdot 0.64 \cdot 0.94}{2 \cdot 0.49}

61.3878m² = \frac{{10m}^{2} \cdot 0.64 \cdot 0.94}{2 \cdot 0.49}

61.3878 = \frac{10^{2} \cdot 0.64 \cdot 0.94}{2 \cdot 0.49}

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 given Side A and Sine of All Three Angles

Area of Triangle given Side A and Sine of All Three Angles Solution

Follow our step by step solution on how to calculate Area of Triangle given Side A and Sine of All Three Angles?

FIRST Step Consider the formula

A = \frac{{S a}^{2} \cdot sin B \cdot sin C}{2 \cdot sin A}

Next Step Substitute values of Variables

∴

A = \frac{{10m}^{2} \cdot 0.64 \cdot 0.94}{2 \cdot 0.49}

Next Step Prepare to Evaluate

∴

A = \frac{10^{2} \cdot 0.64 \cdot 0.94}{2 \cdot 0.49}

Next Step Evaluate

∴

A = 61.3877551020408m²

LAST Step Rounding Answer

∴

A = 61.3878m²

Area of Triangle given Side A and Sine of All Three Angles Formula Elements

Variables

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

Sin B

Sin B is the value of the trigonometric cosine function of the angle B of the triangle.

Symbol: sin B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sin B

Sin C

Sin C is the value of the trigonometric sine function of the angle C of the triangle.

Symbol: sin C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sin C

Sin A

Sin A is the value of the trigonometric sine function of the angle A of the triangle.

Symbol: sin A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sin A

Credits

Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

Surjojoti Som has created this Formula and 200+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

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 given Side A and Sine of All Three Angles?

Area of Triangle given Side A and Sine of All Three Angles evaluator uses Area of Triangle = (Side A of Triangle^2*Sin B*Sin C)/(2*Sin A) to evaluate the Area of Triangle, The Area of Triangle given Side A and Sine of All Three Angles formula is defined as the region occupied inside the triangle, calculated using it's side A and sin of all three angles. Area of Triangle is denoted by A symbol.

How to evaluate Area of Triangle given Side A and Sine of All Three Angles using this online evaluator? To use this online evaluator for Area of Triangle given Side A and Sine of All Three Angles, enter Side A of Triangle (S_a), Sin B (sin B), Sin C (sin C) & Sin A (sin A) and hit the calculate button.

FAQs on Area of Triangle given Side A and Sine of All Three Angles

What is the formula to find Area of Triangle given Side A and Sine of All Three Angles?

The formula of Area of Triangle given Side A and Sine of All Three Angles is expressed as Area of Triangle = (Side A of Triangle^2*Sin B*Sin C)/(2*Sin A). Here is an example- 61.38776 = (10^2*0.64*0.94)/(2*0.49).

How to calculate Area of Triangle given Side A and Sine of All Three Angles?

With Side A of Triangle (S_a), Sin B (sin B), Sin C (sin C) & Sin A (sin A) we can find Area of Triangle given Side A and Sine of All Three Angles using the formula - Area of Triangle = (Side A of Triangle^2*Sin B*Sin C)/(2*Sin A).

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 given Side A and Sine of All Three Angles be negative?

No, the Area of Triangle given Side A and Sine of All Three Angles, measured in Area cannot be negative.

Which unit is used to measure Area of Triangle given Side A and Sine of All Three Angles?

Area of Triangle given Side A and Sine of All Three Angles 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 given Side A and Sine of All Three Angles can be measured.

Spanish French German Russian Italian Portuguese Polish Dutch

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Area of Triangle given Side A and Sine of All Three Angles Formula

​GoArea of Triangle by Heron's Formula Formula

​GoArea of Triangle given Base and Height Formula

Area of Triangle given Side A and Sine of All Three Angles Example

Area of Triangle given Side A and Sine of All Three Angles Solution

Area of Triangle given Side A and Sine of All Three Angles Formula Elements

Credits

Other Formulas to find Area of Triangle

How to Evaluate Area of Triangle given Side A and Sine of All Three Angles?

FAQs on Area of Triangle given Side A and Sine of All Three Angles

Variable Name

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula