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Side B of Triangle given Two Angles and Side C 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 = S c \cdot \frac{\sin (∠B)}{\sin (∠C)}

S_b - Side B of Triangle?S_c - Side C of Triangle?∠B - Angle B of Triangle?∠C - Angle C of Triangle?

Side B of Triangle given Two Angles and Side C Example

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Here is how the Side B of Triangle given Two Angles and Side C equation looks like with Values.

Here is how the Side B of Triangle given Two Angles and Side C equation looks like with Units.

Here is how the Side B of Triangle given Two Angles and Side C equation looks like.

13.6808 = 20 \cdot \frac{\sin (40)}{\sin (110)}

13.6808m = 20m \cdot \frac{\sin (40°)}{\sin (110°)}

13.6808 = 20 \cdot \frac{\sin (40)}{\sin (110)}

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Side B of Triangle given Two Angles and Side C Solution

Follow our step by step solution on how to calculate Side B of Triangle given Two Angles and Side C?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = 20m \cdot \frac{\sin (40°)}{\sin (110°)}

Next Step Convert Units

∴

S b = 20m \cdot \frac{\sin (0.6981rad)}{\sin (1.9199rad)}

Next Step Prepare to Evaluate

∴

S b = 20 \cdot \frac{\sin (0.6981)}{\sin (1.9199)}

Next Step Evaluate

∴

S b = 13.6808057330228m

LAST Step Rounding Answer

∴

S b = 13.6808m

Side B of Triangle given Two Angles and Side C Formula Elements

Variables

Functions

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

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

Angle B of Triangle

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

Symbol: ∠B

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Side C , Sin A and Area of Triangle

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

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

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

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 Two Angles and Side C?

Side B of Triangle given Two Angles and Side C evaluator uses Side B of Triangle = Side C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle) to evaluate the Side B of Triangle, The Side B of Triangle given Two Angles and Side C formula is defined as the length of side B using Angle B and C, and side C. Side B of Triangle is denoted by S_b symbol.

How to evaluate Side B of Triangle given Two Angles and Side C using this online evaluator? To use this online evaluator for Side B of Triangle given Two Angles and Side C, enter Side C of Triangle (S_c), Angle B of Triangle (∠B) & Angle C of Triangle (∠C) and hit the calculate button.

FAQs on Side B of Triangle given Two Angles and Side C

What is the formula to find Side B of Triangle given Two Angles and Side C?

The formula of Side B of Triangle given Two Angles and Side C is expressed as Side B of Triangle = Side C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle). Here is an example- 13.68081 = 20*sin(0.698131700797601)/sin(1.9198621771934).

How to calculate Side B of Triangle given Two Angles and Side C?

With Side C of Triangle (S_c), Angle B of Triangle (∠B) & Angle C of Triangle (∠C) we can find Side B of Triangle given Two Angles and Side C using the formula - Side B of Triangle = Side C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle). This formula also uses Sine (sin) function(s).

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=(2*Area of Triangle)/(Side C of Triangle*Sin A)

Can the Side B of Triangle given Two Angles and Side C be negative?

No, the Side B of Triangle given Two Angles and Side C, measured in Length cannot be negative.

Which unit is used to measure Side B of Triangle given Two Angles and Side C?

Side B of Triangle given Two Angles and Side C 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 Two Angles and Side C can be measured.

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