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Side A of Triangle given Side C , Sin B and Area of Triangle Formula

GoSide A of Triangle Formula

GoSide A of Triangle given Two Angles and Side B Formula

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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. Check FAQs

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

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

Side A of Triangle given Side C , Sin B and Area of Triangle Example

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Here is how the Side A of Triangle given Side C , Sin B and Area of Triangle equation looks like with Values.

Here is how the Side A of Triangle given Side C , Sin B and Area of Triangle equation looks like with Units.

Here is how the Side A of Triangle given Side C , Sin B and Area of Triangle equation looks like.

10.1562 = \frac{2 \cdot 65}{20 \cdot 0.64}

10.1562m = \frac{2 \cdot 65m²}{20m \cdot 0.64}

10.1562 = \frac{2 \cdot 65}{20 \cdot 0.64}

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Side A of Triangle given Side C , Sin B and Area of Triangle Solution

Follow our step by step solution on how to calculate Side A of Triangle given Side C , Sin B and Area of Triangle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S a = \frac{2 \cdot 65m²}{20m \cdot 0.64}

Next Step Prepare to Evaluate

∴

S a = \frac{2 \cdot 65}{20 \cdot 0.64}

Next Step Evaluate

∴

S a = 10.15625m

LAST Step Rounding Answer

∴

S a = 10.1562m

Side A of Triangle given Side C , Sin B and Area of Triangle Formula Elements

Variables

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

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 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

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

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 Side A of Triangle

Go Side A of Triangle

S a = \sqrt{{S b}^{2} + {S c}^{2} - 2 \cdot S b \cdot S c \cdot \cos (∠A)}

Go Side A of Triangle given Two Angles and Side B

S a = S b \cdot \frac{\sin (∠A)}{\sin (∠B)}

Go Side A of Triangle given Two Angles and Side C

S a = S c \cdot \frac{\sin (∠A)}{\sin (∠C)}

Go Side A of Triangle given Side B , Sin C and Area of Triangle

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

Other formulas in Side of Triangle category

Go Side B of Triangle

S b = \sqrt{{S a}^{2} + {S c}^{2} - 2 \cdot S a \cdot S c \cdot \cos (∠B)}

Go Side C of Triangle

S c = \sqrt{{S b}^{2} + {S a}^{2} - 2 \cdot S a \cdot S b \cdot \cos (∠C)}

Go Side B of Triangle given Two Angles and Side A

S b = S a \cdot \frac{\sin (∠B)}{\sin (∠A)}

Go Side C of Triangle given Two Angles and Side B

S c = S b \cdot \frac{\sin (∠C)}{\sin (∠B)}

How to Evaluate Side A of Triangle given Side C , Sin B and Area of Triangle?

Side A of Triangle given Side C , Sin B and Area of Triangle evaluator uses Side A of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin B) to evaluate the Side A of Triangle, The Side A of Triangle given Side C , Sin B and Area of Triangle formula is defined as value of side A using area, side C and sin of angle B of the triangle. Side A of Triangle is denoted by S_a symbol.

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

FAQs on Side A of Triangle given Side C , Sin B and Area of Triangle

What is the formula to find Side A of Triangle given Side C , Sin B and Area of Triangle?

The formula of Side A of Triangle given Side C , Sin B and Area of Triangle is expressed as Side A of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin B). Here is an example- 10.15625 = (2*65)/(20*0.64).

How to calculate Side A of Triangle given Side C , Sin B and Area of Triangle?

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

What are the other ways to Calculate Side A of Triangle?

Here are the different ways to Calculate Side A of Triangle-

Side A of Triangle=sqrt(Side B of Triangle^2+Side C of Triangle^2-2*Side B of Triangle*Side C of Triangle*cos(Angle A of Triangle))
Side A of Triangle=Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)
Side A of Triangle=Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)

Can the Side A of Triangle given Side C , Sin B and Area of Triangle be negative?

No, the Side A of Triangle given Side C , Sin B and Area of Triangle, measured in Length cannot be negative.

Which unit is used to measure Side A of Triangle given Side C , Sin B and Area of Triangle?

Side A of Triangle given Side C , Sin B and Area of Triangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Side A of Triangle given Side C , Sin B and Area of Triangle can be measured.

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Side A of Triangle given Side C , Sin B and Area of Triangle Formula

​GoSide A of Triangle Formula

​GoSide A of Triangle given Two Angles and Side B Formula

Side A of Triangle given Side C , Sin B and Area of Triangle Example

Side A of Triangle given Side C , Sin B and Area of Triangle Solution

Side A of Triangle given Side C , Sin B and Area of Triangle Formula Elements

Credits

Other Formulas to find Side A of Triangle

Other formulas in Side of Triangle category

How to Evaluate Side A of Triangle given Side C , Sin B and Area of Triangle?

FAQs on Side A of Triangle given Side C , Sin B and Area of Triangle

Variable Name

GoSide A of Triangle Formula

GoSide A of Triangle given Two Angles and Side B Formula