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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
Sa=Sb-Sc⋅cos(∠A)cos(∠C)
Sa - Side A of Triangle?Sb - Side B of Triangle?Sc - Side C of Triangle?∠A - Angle A of Triangle?∠C - Angle C of Triangle?

Side A of Triangle given Two Sides and Two Angles A and C Example

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

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

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

9.7085Edit=14Edit-20Edit⋅cos(30Edit)cos(110Edit)
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HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Side A of Triangle given Two Sides and Two Angles A and C

Side A of Triangle given Two Sides and Two Angles A and C Solution

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

FIRST Step Consider the formula
Sa=Sb-Sc⋅cos(∠A)cos(∠C)
Next Step Substitute values of Variables
∴ Sa=14m-20m⋅cos(30°)cos(110°)
Next Step Convert Units
∴ Sa=14m-20m⋅cos(0.5236rad)cos(1.9199rad)
Next Step Prepare to Evaluate
∴ Sa=14-20⋅cos(0.5236)cos(1.9199)
Next Step Evaluate
∴Sa=9.70851612248557m
LAST Step Rounding Answer
∴Sa=9.7085m

Side A of Triangle given Two Sides and Two Angles A and 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: Sa
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side A of TriangleOpen Variable
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: Sb
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side B of TriangleOpen Variable
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: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side C of TriangleOpen Variable
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 TriangleOpen Variable
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 TriangleOpen Variable
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Credits

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Created by Surjojoti Som LinkedIn Logo
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
Surjojoti Som has created this Formula and 200+ more formulas!
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Verified by Nayana Phulphagar LinkedIn Logo
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 A of Triangle

​Go Side A of Triangle given Two Sides and Two Angles B and C
Sa=Sb⋅cos(∠C)+Sc⋅cos(∠B)
​Go Side A of Triangle given Two Sides and Two Angles A and B
Sa=Sc-Sb⋅cos(∠A)cos(∠B)

Other formulas in Projection Formulae in Triangles category

​Go Side C of Triangle given Two Sides and Two Angles A and B
Sc=Sa⋅cos(∠B)+Sb⋅cos(∠A)
​Go Side B of Triangle given Two Sides and Two Angles A and C
Sb=Sa⋅cos(∠C)+Sc⋅cos(∠A)
​Go Side B of Triangle given Two Sides and Two Angles A and B
Sb=Sc-Sa⋅cos(∠B)cos(∠A)
​Go Side B of Triangle given Two Sides and Two Angles B and C
Sb=Sa-Sc⋅cos(∠B)cos(∠C)

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

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

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

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

What is the formula to find Side A of Triangle given Two Sides and Two Angles A and C?
The formula of Side A of Triangle given Two Sides and Two Angles A and C is expressed as Side A of Triangle = (Side B of Triangle-Side C of Triangle*cos(Angle A of Triangle))/cos(Angle C of Triangle). Here is an example- 9.708516 = (14-20*cos(0.5235987755982))/cos(1.9198621771934).
How to calculate Side A of Triangle given Two Sides and Two Angles A and C?
With Side B of Triangle (Sb), Side C of Triangle (Sc), Angle A of Triangle (∠A) & Angle C of Triangle (∠C) we can find Side A of Triangle given Two Sides and Two Angles A and C using the formula - Side A of Triangle = (Side B of Triangle-Side C of Triangle*cos(Angle A of Triangle))/cos(Angle C of Triangle). This formula also uses Cosine (cos) 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=Side B of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle B of Triangle)OpenImg
  • Side A of Triangle=(Side C of Triangle-Side B of Triangle*cos(Angle A of Triangle))/cos(Angle B of Triangle)OpenImg
Can the Side A of Triangle given Two Sides and Two Angles A and C be negative?
No, the Side A of Triangle given Two Sides and Two Angles A and C, measured in Length cannot be negative.
Which unit is used to measure Side A of Triangle given Two Sides and Two Angles A and C?
Side A of Triangle given Two Sides and Two Angles A and 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 Sides and Two Angles A and C can be measured.
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