Side C of Triangle 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%

✖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 [S_c]

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Formula

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Side C of Triangle

Formula

`"S"_{"c"} = sqrt("S"_{"b"}^2+"S"_{"a"}^2-2*"S"_{"a"}*"S"_{"b"}*cos("∠C"))`

Example

`"19.79307m"=sqrt(("14m")^2+("10m")^2-2*"10m"*"14m"*cos("110°"))`

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Side C of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
S_c = sqrt(S_b^2+S_a^2-2*S_a*S_b*cos(∠C))
This formula uses 2 Functions, 4 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_c = sqrt(S_b^2+S_a^2-2*S_a*S_b*cos(∠C)) --> sqrt(14^2+10^2-2*10*14*cos(1.9198621771934))

Evaluating ... ...

S_c = 19.7930705079099

STEP 3: Convert Result to Output's Unit

19.7930705079099 Meter --> No Conversion Required

FINAL ANSWER

19.7930705079099 ≈ 19.79307 Meter <-- Side C of Triangle

(Calculation completed in 00.004 seconds)

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< 9 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)

< 4 Sides 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 C of Triangle Formula

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))
S_c = sqrt(S_b^2+S_a^2-2*S_a*S_b*cos(∠C))

What is 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.

What are properties of a Triangle?

A Triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.

How to Calculate Side C of Triangle?

Side C of Triangle calculator uses 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)) to calculate the Side C of Triangle, Side C of Triangle is one of the three sides of the triangle, calculated using the other 2 sides and the angle C. Side C of Triangle is denoted by S_c symbol.

How to calculate Side C of Triangle using this online calculator? To use this online calculator for Side C of Triangle, enter Side B of Triangle (S_b), Side A of Triangle (S_a) & Angle C of Triangle (∠C) and hit the calculate button. Here is how the Side C of Triangle calculation can be explained with given input values -> 19.79307 = sqrt(14^2+10^2-2*10*14*cos(1.9198621771934)).

FAQ

What is Side C of Triangle?

Side C of Triangle is one of the three sides of the triangle, calculated using the other 2 sides and the angle C and is represented as S_c = sqrt(S_b^2+S_a^2-2*S_a*S_b*cos(∠C)) or 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)). 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.

How to calculate Side C of Triangle?

Side C of Triangle is one of the three sides of the triangle, calculated using the other 2 sides and the angle C is calculated using 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)). To calculate Side C of Triangle, you need Side B of Triangle (S_b), Side A of Triangle (S_a) & Angle C of Triangle (∠C). With our tool, you need to enter the respective value for Side B of Triangle, Side A of Triangle & Angle C 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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