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Side B of Triangle given Two Angles and Side A Formula

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GoSide B of Triangle given Two Angles and Side C 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 a \cdot \frac{\sin (∠B)}{\sin (∠A)}

S_b - Side B of Triangle?S_a - Side A of Triangle?∠B - Angle B of Triangle?∠A - Angle A of Triangle?

Side B of Triangle given Two Angles and Side A Example

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

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

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

12.8558 = 10 \cdot \frac{\sin (40)}{\sin (30)}

12.8558m = 10m \cdot \frac{\sin (40°)}{\sin (30°)}

12.8558 = 10 \cdot \frac{\sin (40)}{\sin (30)}

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Side B of Triangle given Two Angles and Side A Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = 10m \cdot \frac{\sin (40°)}{\sin (30°)}

Next Step Convert Units

∴

S b = 10m \cdot \frac{\sin (0.6981rad)}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

S b = 10 \cdot \frac{\sin (0.6981)}{\sin (0.5236)}

Next Step Evaluate

∴

S b = 12.8557521937288m

LAST Step Rounding Answer

∴

S b = 12.8558m

Side B of Triangle given Two Angles and Side A 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 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

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 A of Triangle

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

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle A 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 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 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}

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 A?

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

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

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

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

The formula of Side B of Triangle given Two Angles and Side A is expressed as Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle). Here is an example- 12.85575 = 10*sin(0.698131700797601)/sin(0.5235987755982).

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

With Side A of Triangle (S_a), Angle B of Triangle (∠B) & Angle A of Triangle (∠A) we can find Side B of Triangle given Two Angles and Side A using the formula - Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A 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 C of Triangle*sin(Angle B of Triangle)/sin(Angle C 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 A be negative?

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

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

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

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Side B of Triangle given Two Angles and Side A Formula

​GoSide B of Triangle Formula

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

Side B of Triangle given Two Angles and Side A Example

Side B of Triangle given Two Angles and Side A Solution

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

Other Formulas to find Side B of Triangle

Other formulas in Side of Triangle category

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

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

Variable Name

GoSide B of Triangle Formula

GoSide B of Triangle given Two Angles and Side C Formula