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

✖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.ⓘ Side B of Triangle [S_b]			+10% -10%
✖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 Sides and Two Angles A and C [S_c]

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Formula

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

Formula

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

Example

`"20.11512m"=("14m"-"10m"*cos("110°"))/cos("30°")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Side C of Triangle = (Side B of Triangle-Side A of Triangle*cos(Angle C of Triangle))/cos(Angle A of Triangle)
S_c = (S_b-S_a*cos(∠C))/cos(∠A)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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 B of Triangle - (Measured in Meter) - 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.
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 B of Triangle: 14 Meter --> 14 Meter No Conversion Required
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_b-S_a*cos(∠C))/cos(∠A) --> (14-10*cos(1.9198621771934))/cos(0.5235987755982)

Evaluating ... ...

S_c = 20.1151159736526

STEP 3: Convert Result to Output's Unit

20.1151159736526 Meter --> No Conversion Required

FINAL ANSWER

20.1151159736526 ≈ 20.11512 Meter <-- Side C of Triangle

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Projection Formulae in Triangles » Side C of Triangle given Two Sides and Two Angles A and C

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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< 9 Projection Formulae in Triangles Calculators

Side A of Triangle given Two Sides and Two Angles A and B

Go Side A of Triangle = (Side C of Triangle-Side B of Triangle*cos(Angle A of Triangle))/cos(Angle B of Triangle)

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

Go Side A of Triangle = (Side B of Triangle-Side C of Triangle*cos(Angle A of Triangle))/cos(Angle C of Triangle)

Side B of Triangle given Two Sides and Two Angles A and B

Go Side B of Triangle = (Side C of Triangle-Side A of Triangle*cos(Angle B of Triangle))/cos(Angle A of Triangle)

Side B of Triangle given Two Sides and Two Angles B and C

Go Side B of Triangle = (Side A of Triangle-Side C of Triangle*cos(Angle B of Triangle))/cos(Angle C of Triangle)

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

Go Side C of Triangle = (Side B of Triangle-Side A of Triangle*cos(Angle C of Triangle))/cos(Angle A of Triangle)

Side C of Triangle given Two Sides and Two Angles B and C

Go Side C of Triangle = (Side A of Triangle-Side B of Triangle*cos(Angle C of Triangle))/cos(Angle B of Triangle)

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

Go Side C of Triangle = Side A of Triangle*cos(Angle B of Triangle)+Side B of Triangle*cos(Angle A of Triangle)

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

Go Side B of Triangle = Side A of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle A of Triangle)

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

Go Side A of Triangle = Side B of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle B of Triangle)

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

Side C of Triangle = (Side B of Triangle-Side A of Triangle*cos(Angle C of Triangle))/cos(Angle A of Triangle)
S_c = (S_b-S_a*cos(∠C))/cos(∠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 Sides and Two Angles A and C?

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

How to calculate Side C of Triangle given Two Sides and Two Angles A and C using this online calculator? To use this online calculator for Side C of Triangle given Two Sides and Two Angles A and C, enter Side B of Triangle (S_b), 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 Sides and Two Angles A and C calculation can be explained with given input values -> 20.11512 = (14-10*cos(1.9198621771934))/cos(0.5235987755982).

FAQ

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

The Side C of Triangle given Two Sides and Two Angles A and C formula is defined as the length of side C using Angle A and C, and side A and B and is represented as S_c = (S_b-S_a*cos(∠C))/cos(∠A) or Side C of Triangle = (Side B of Triangle-Side A of Triangle*cos(Angle C of Triangle))/cos(Angle A 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, 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 Sides and Two Angles A and C?

The Side C of Triangle given Two Sides and Two Angles A and C formula is defined as the length of side C using Angle A and C, and side A and B is calculated using Side C of Triangle = (Side B of Triangle-Side A of Triangle*cos(Angle C of Triangle))/cos(Angle A of Triangle). To calculate Side C of Triangle given Two Sides and Two Angles A and C, you need Side B of Triangle (S_b), 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 B of Triangle, 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 B of Triangle, Side A of Triangle, Angle C of Triangle & Angle A of Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Side C of Triangle = Side A of Triangle*cos(Angle B of Triangle)+Side B of Triangle*cos(Angle A of Triangle)
Side C of Triangle = (Side A of Triangle-Side B of Triangle*cos(Angle C of Triangle))/cos(Angle B of Triangle)

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