Side B of Triangle 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%
✖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]			+10% -10%
✖Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.ⓘ Angle B of Triangle [∠B]			+10% -10%

✖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]

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Formula

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Side B of Triangle

Formula

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

Example

`"13.91338m"=sqrt(("10m")^2+("20m")^2-2*"10m"*"20m"*cos("40°"))`

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Side B of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
S_b = sqrt(S_a^2+S_c^2-2*S_a*S_c*cos(∠B))
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 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.
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.
Angle B of Triangle - (Measured in Radian) - Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Angle B of Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = sqrt(S_a^2+S_c^2-2*S_a*S_c*cos(∠B)) --> sqrt(10^2+20^2-2*10*20*cos(0.698131700797601))

Evaluating ... ...

S_b = 13.9133828651545

STEP 3: Convert Result to Output's Unit

13.9133828651545 Meter --> No Conversion Required

FINAL ANSWER

13.9133828651545 ≈ 13.91338 Meter <-- Side B of Triangle

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 13 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)

< 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 B of Triangle Formula

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

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 B of Triangle?

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

How to calculate Side B of Triangle using this online calculator? To use this online calculator for Side B of Triangle, enter Side A of Triangle (S_a), Side C of Triangle (S_c) & Angle B of Triangle (∠B) and hit the calculate button. Here is how the Side B of Triangle calculation can be explained with given input values -> 13.91338 = sqrt(10^2+20^2-2*10*20*cos(0.698131700797601)).

FAQ

What is Side B of Triangle?

Side B of Triangle is one of the three sides of the Triangle, calculated using the other 2 sides and angle B and is represented as S_b = sqrt(S_a^2+S_c^2-2*S_a*S_c*cos(∠B)) or 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)). 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, 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 & Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.

How to calculate Side B of Triangle?

Side B of Triangle is one of the three sides of the Triangle, calculated using the other 2 sides and angle B is calculated using 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)). To calculate Side B of Triangle, you need Side A of Triangle (S_a), Side C of Triangle (S_c) & Angle B of Triangle (∠B). With our tool, you need to enter the respective value for Side A of Triangle, Side C of Triangle & Angle B 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 B of Triangle?

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

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

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