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

GoSide B of Triangle Formula

GoSide B of Triangle given Two Angles and Side A Formula

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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. Check FAQs

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

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

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

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

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

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

13.8298 = \frac{2 \cdot 65}{10 \cdot 0.94}

13.8298m = \frac{2 \cdot 65m²}{10m \cdot 0.94}

13.8298 = \frac{2 \cdot 65}{10 \cdot 0.94}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = \frac{2 \cdot 65m²}{10m \cdot 0.94}

Next Step Prepare to Evaluate

∴

S b = \frac{2 \cdot 65}{10 \cdot 0.94}

Next Step Evaluate

∴

S b = 13.8297872340426m

LAST Step Rounding Answer

∴

S b = 13.8298m

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

Variables

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

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 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

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 B of Triangle

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 B of Triangle given Two Angles and Side A

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

Go Side B of Triangle given Two Angles and Side C

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

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

S b = \frac{2 \cdot A}{S c \cdot sin A}

Other formulas in Side of Triangle category

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 C of Triangle

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

Go Side A of Triangle given Two Angles and Side B

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

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

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

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

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

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

The formula of Side B of Triangle given Side A , Sin C and Area of Triangle is expressed as Side B of Triangle = (2*Area of Triangle)/(Side A of Triangle*Sin C). Here is an example- 13.82979 = (2*65)/(10*0.94).

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

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

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

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

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

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

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

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

Side B of Triangle given Side A , Sin C 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 B of Triangle given Side A , Sin C and Area of Triangle can be measured.

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

​GoSide B of Triangle Formula

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

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

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

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

Credits

Other Formulas to find Side B of Triangle

Other formulas in Side of Triangle category

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

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

Variable Name

GoSide B of Triangle Formula

GoSide B of Triangle given Two Angles and Side A Formula