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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
Sc=Sa⋅sin(∠C)sin(∠A)
Sc - Side C of Triangle?Sa - Side A of Triangle?∠C - Angle C of Triangle?∠A - Angle A of Triangle?

Side C of Triangle given Two Angles and Side A Example

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

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

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

18.7939Edit=10Edit⋅sin(110Edit)sin(30Edit)
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HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Side C of Triangle given Two Angles and Side A

Side C of Triangle given Two Angles and Side A Solution

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

FIRST Step Consider the formula
Sc=Sa⋅sin(∠C)sin(∠A)
Next Step Substitute values of Variables
∴ Sc=10m⋅sin(110°)sin(30°)
Next Step Convert Units
∴ Sc=10m⋅sin(1.9199rad)sin(0.5236rad)
Next Step Prepare to Evaluate
∴ Sc=10⋅sin(1.9199)sin(0.5236)
Next Step Evaluate
∴Sc=18.7938524157207m
LAST Step Rounding Answer
∴Sc=18.7939m

Side C of Triangle given Two Angles and Side A 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: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side C of TriangleOpen Variable
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
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
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
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
Sc=Sb2+Sa2-2⋅Sa⋅Sb⋅cos(∠C)
​Go Side C of Triangle given Two Angles and Side B
Sc=Sb⋅sin(∠C)sin(∠B)
​Go Side C of Triangle given Side A , Sin B and Area of Triangle
Sc=2⋅ASa⋅sin B
​Go Side C of Triangle given Side B , Sin A and Area of Triangle
Sc=2⋅ASb⋅sin A

Other formulas in Side of Triangle category

​Go Side A of Triangle
Sa=Sb2+Sc2-2⋅Sb⋅Sc⋅cos(∠A)
​Go Side B of Triangle
Sb=Sa2+Sc2-2⋅Sa⋅Sc⋅cos(∠B)
​Go Side A of Triangle given Two Angles and Side B
Sa=Sb⋅sin(∠A)sin(∠B)
​Go Side B of Triangle given Two Angles and Side A
Sb=Sa⋅sin(∠B)sin(∠A)

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

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

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

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

What is the formula to find Side C of Triangle given Two Angles and Side A?
The formula of Side C of Triangle given Two Angles and Side A is expressed as Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle). Here is an example- 18.79385 = 10*sin(1.9198621771934)/sin(0.5235987755982).
How to calculate Side C of Triangle given Two Angles and Side A?
With Side A of Triangle (Sa), Angle C of Triangle (∠C) & Angle A of Triangle (∠A) we can find Side C of Triangle given Two Angles and Side A using the formula - Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A 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))OpenImg
  • Side C of Triangle=Side B of Triangle*sin(Angle C of Triangle)/sin(Angle B of Triangle)OpenImg
  • Side C of Triangle=(2*Area of Triangle)/(Side A of Triangle*Sin B)OpenImg
Can the Side C of Triangle given Two Angles and Side A be negative?
No, the Side C of Triangle given Two Angles and Side A, measured in Length cannot be negative.
Which unit is used to measure Side C of Triangle given Two Angles and Side A?
Side C 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 C of Triangle given Two Angles and Side A can be measured.
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