Side C of Triangle given Two Angles and Side A Calculator

✖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.ⓘ Side A of Triangle [S_a]			+10% -10%
✖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.ⓘ Angle C of Triangle [∠C]			+10% -10%
✖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.ⓘ Angle A of Triangle [∠A]			+10% -10%

✖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.ⓘ Side C of Triangle given Two Angles and Side A [S_c]

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Formula

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Side C of Triangle given Two Angles and Side A

Formula

`"S"_{"c"} = "S"_{"a"}*sin("∠C")/sin("∠A")`

Example

`"18.79385m"="10m"*sin("110°")/sin("30°")`

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Side C of Triangle given Two Angles and Side A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle)
S_c = S_a*sin(∠C)/sin(∠A)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Side C of Triangle - (Measured in Meter) - 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.
Side A of Triangle - (Measured in Meter) - 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.
Angle C of Triangle - (Measured in Radian) - 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.
Angle A of Triangle - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Angle C of Triangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)
Angle A of Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_c = S_a*sin(∠C)/sin(∠A) --> 10*sin(1.9198621771934)/sin(0.5235987755982)

Evaluating ... ...

S_c = 18.7938524157207

STEP 3: Convert Result to Output's Unit

18.7938524157207 Meter --> No Conversion Required

FINAL ANSWER

18.7938524157207 ≈ 18.79385 Meter <-- Side C of Triangle

(Calculation completed in 00.004 seconds)

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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< 15 Side of Triangle Calculators

Side A of Triangle

Go 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 B of Triangle

Go 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 C of Triangle

Go 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))

Side A of Triangle given Two Angles and Side B

Go Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)

Side B of Triangle given Two Angles and Side A

Go Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle)

Side C of Triangle given Two Angles and Side B

Go Side C of Triangle = Side B of Triangle*sin(Angle C of Triangle)/sin(Angle B of Triangle)

Side A of Triangle given Two Angles and Side C

Go Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)

Side B of Triangle given Two Angles and Side C

Go Side B of Triangle = Side C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle)

Side C of Triangle given Two Angles and Side A

Go Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle)

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

Go Side A of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin C)

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

Go Side A of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin B)

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

Go Side B of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin A)

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

Go Side B of Triangle = (2*Area of Triangle)/(Side A of Triangle*Sin C)

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

Go Side C of Triangle = (2*Area of Triangle)/(Side A of Triangle*Sin B)

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

Go Side C of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin A)

Side C of Triangle given Two Angles and Side A Formula

Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle)
S_c = S_a*sin(∠C)/sin(∠A)

What is a Triangle?

The Triangle is the type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

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

Side C of Triangle given Two Angles and Side A calculator uses Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle) to calculate 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 S_c symbol.

How to calculate Side C of Triangle given Two Angles and Side A using this online calculator? To use this online calculator for Side C of Triangle given Two Angles and Side A, enter Side A of Triangle (S_a), Angle C of Triangle (∠C) & Angle A of Triangle (∠A) and hit the calculate button. Here is how the Side C of Triangle given Two Angles and Side A calculation can be explained with given input values -> 18.79385 = 10*sin(1.9198621771934)/sin(0.5235987755982).

FAQ

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

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 and is represented as S_c = S_a*sin(∠C)/sin(∠A) or Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle 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, 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 & 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.

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

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 is calculated using Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle). To calculate Side C of Triangle given Two Angles and Side A, you need Side A of Triangle (S_a), Angle C of Triangle (∠C) & Angle A of Triangle (∠A). With our tool, you need to enter the respective value for Side A of Triangle, Angle C of Triangle & Angle A of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Side C of Triangle?

In this formula, Side C of Triangle uses Side A of Triangle, Angle C of Triangle & Angle A of Triangle. We can use 4 other way(s) to calculate the same, which is/are as follows -

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))
Side C of Triangle = Side B of Triangle*sin(Angle C of Triangle)/sin(Angle B of Triangle)
Side C of Triangle = (2*Area of Triangle)/(Side A of Triangle*Sin B)
Side C of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin A)

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