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Side C of Triangle given Two Angles and Side B Formula

GoSide C of Triangle Formula

GoSide C of Triangle given Two Angles and Side A Formula

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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. Check FAQs

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

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

Side C of Triangle given Two Angles and Side B Example

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

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

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

20.4666 = 14 \cdot \frac{\sin (110)}{\sin (40)}

20.4666m = 14m \cdot \frac{\sin (110°)}{\sin (40°)}

20.4666 = 14 \cdot \frac{\sin (110)}{\sin (40)}

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Side C of Triangle given Two Angles and Side B Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S c = 14m \cdot \frac{\sin (110°)}{\sin (40°)}

Next Step Convert Units

∴

S c = 14m \cdot \frac{\sin (1.9199rad)}{\sin (0.6981rad)}

Next Step Prepare to Evaluate

∴

S c = 14 \cdot \frac{\sin (1.9199)}{\sin (0.6981)}

Next Step Evaluate

∴

S c = 20.4666308011475m

LAST Step Rounding Answer

∴

S c = 20.4666m

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

Variables

Functions

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

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

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

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)

Other Formulas to find Side C of Triangle

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 C of Triangle given Two Angles and Side A

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

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

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

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

S c = \frac{2 \cdot A}{S b \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 B of Triangle

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

Go Side A of Triangle given Two Angles and Side B

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

Go Side B of Triangle given Two Angles and Side A

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

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

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

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

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

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

The formula of Side C of Triangle given Two Angles and Side B is expressed as Side C of Triangle = Side B of Triangle*sin(Angle C of Triangle)/sin(Angle B of Triangle). Here is an example- 20.46663 = 14*sin(1.9198621771934)/sin(0.698131700797601).

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

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

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

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

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

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

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

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

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

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