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Side A of Triangle given Two Angles and Side C Formula

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GoSide 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 c \cdot \frac{\sin (∠A)}{\sin (∠C)}

S_a - Side A of Triangle?S_c - Side C of Triangle?∠A - Angle A of Triangle?∠C - Angle C of Triangle?

Side A of Triangle given Two Angles and Side C Example

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

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

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

10.6418 = 20 \cdot \frac{\sin (30)}{\sin (110)}

10.6418m = 20m \cdot \frac{\sin (30°)}{\sin (110°)}

10.6418 = 20 \cdot \frac{\sin (30)}{\sin (110)}

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Side A of Triangle given Two Angles and Side C Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S a = 20m \cdot \frac{\sin (30°)}{\sin (110°)}

Next Step Convert Units

∴

S a = 20m \cdot \frac{\sin (0.5236rad)}{\sin (1.9199rad)}

Next Step Prepare to Evaluate

∴

S a = 20 \cdot \frac{\sin (0.5236)}{\sin (1.9199)}

Next Step Evaluate

∴

S a = 10.6417777247577m

LAST Step Rounding Answer

∴

S a = 10.6418m

Side A of Triangle given Two Angles and Side C 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 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 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 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)

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)}

Go Side A of Triangle given Two Angles and Side B

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

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

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

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

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

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)}

Go Side B of Triangle given Two Angles and Side A

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

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 A of Triangle given Two Angles and Side C?

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

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

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

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

The formula of Side A of Triangle given Two Angles and Side C is expressed as Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle). Here is an example- 10.64178 = 20*sin(0.5235987755982)/sin(1.9198621771934).

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

With Side C of Triangle (S_c), Angle A of Triangle (∠A) & Angle C of Triangle (∠C) we can find Side A of Triangle given Two Angles and Side C using the formula - Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle). This formula also uses Sine (sin) 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))
Side A of Triangle=Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)
Side A of Triangle=(2*Area of Triangle)/(Side B of Triangle*Sin C)

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

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

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

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

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Side A of Triangle given Two Angles and Side C Formula

​GoSide A of Triangle Formula

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

Side A of Triangle given Two Angles and Side C Example

Side A of Triangle given Two Angles and Side C Solution

Side A of Triangle given Two Angles and Side C 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 C?

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

Variable Name

GoSide A of Triangle Formula

GoSide A of Triangle given Two Angles and Side B Formula