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

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

Side A of Triangle given Two Angles and Side B Example

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

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

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

10.8901 = 14 \cdot \frac{\sin (30)}{\sin (40)}

10.8901m = 14m \cdot \frac{\sin (30°)}{\sin (40°)}

10.8901 = 14 \cdot \frac{\sin (30)}{\sin (40)}

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Side A of Triangle given Two Angles and Side B Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S a = 14m \cdot \frac{\sin (30°)}{\sin (40°)}

Next Step Convert Units

∴

S a = 14m \cdot \frac{\sin (0.5236rad)}{\sin (0.6981rad)}

Next Step Prepare to Evaluate

∴

S a = 14 \cdot \frac{\sin (0.5236)}{\sin (0.6981)}

Next Step Evaluate

∴

S a = 10.8900667880246m

LAST Step Rounding Answer

∴

S a = 10.8901m

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

Variables

Functions

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

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 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

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 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)}

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)}

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

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

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

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

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

The formula of Side A of Triangle given Two Angles and Side B is expressed as Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle). Here is an example- 10.89007 = 14*sin(0.5235987755982)/sin(0.698131700797601).

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

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

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))

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

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

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

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

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Side A of Triangle given Two Angles and Side B Formula

​GoSide A of Triangle Formula

Side A of Triangle given Two Angles and Side B Example

Side A of Triangle given Two Angles and Side B Solution

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

Other Formulas to find Side A of Triangle

Other formulas in Side of Triangle category

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

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

Variable Name

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