## Angle B of Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle))
∠B = acos((Sc^2+Sa^2-Sb^2)/(2*Sc*Sa))
This formula uses 2 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠B = acos((Sc^2+Sa^2-Sb^2)/(2*Sc*Sa)) --> acos((20^2+10^2-14^2)/(2*20*10))
Evaluating ... ...
∠B = 0.707483211779343
STEP 3: Convert Result to Output's Unit
0.707483211779343 Radian -->40.5358021113242 Degree (Check conversion here)
40.5358021113242 40.5358 Degree <-- Angle B of Triangle
(Calculation completed in 00.004 seconds)
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## Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 4 Angles of Triangle Calculators

Angle A of Triangle
Angle A of Triangle = acos((Side C of Triangle^2+Side B of Triangle^2-Side A of Triangle^2)/(2*Side C of Triangle*Side B of Triangle))
Angle B of Triangle
Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle))
Angle C of Triangle
Angle C of Triangle = acos((Side B of Triangle^2+Side A of Triangle^2-Side C of Triangle^2)/(2*Side B of Triangle*Side A of Triangle))
Third Angle of Triangle given Two Angles
Angle C of Triangle = pi-(Angle A of Triangle+Angle B of Triangle)

## < 4 Angle of Triangle Calculators

Angle A of Triangle
Angle A of Triangle = acos((Side C of Triangle^2+Side B of Triangle^2-Side A of Triangle^2)/(2*Side C of Triangle*Side B of Triangle))
Angle B of Triangle
Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle))
Angle C of Triangle
Angle C of Triangle = acos((Side B of Triangle^2+Side A of Triangle^2-Side C of Triangle^2)/(2*Side B of Triangle*Side A of Triangle))
Third Angle of Triangle given Two Angles
Angle C of Triangle = pi-(Angle A of Triangle+Angle B of Triangle)

## Angle B of Triangle Formula

Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle))
∠B = acos((Sc^2+Sa^2-Sb^2)/(2*Sc*Sa))

## What is Triangle?

A Triangle is a 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 the angle of Triangle is calculated?

A Triangle with three sides has three angles formed between the intersection of the sides. The sum of all the angles of any triangle ( like an isosceles, scalene, and equilateral ) is 180 degrees. When two angles of a triangle are given the third angle can be calculated by adding two angles and then subtracting the sum from 180 degrees.

## How to Calculate Angle B of Triangle?

Angle B of Triangle calculator uses Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle)) to calculate the Angle B of Triangle, The Angle B of Triangle formula is defined as 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 is denoted by ∠B symbol.

How to calculate Angle B of Triangle using this online calculator? To use this online calculator for Angle B of Triangle, enter Side C of Triangle (Sc), Side A of Triangle (Sa) & Side B of Triangle (Sb) and hit the calculate button. Here is how the Angle B of Triangle calculation can be explained with given input values -> 40.5358 = acos((20^2+10^2-14^2)/(2*20*10)).

### FAQ

What is Angle B of Triangle?
The Angle B of Triangle formula is defined as the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle and is represented as ∠B = acos((Sc^2+Sa^2-Sb^2)/(2*Sc*Sa)) or Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A 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, 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 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.
How to calculate Angle B of Triangle?
The Angle B of Triangle formula is defined as the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle is calculated using Angle B of Triangle = acos((Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side C of Triangle*Side A of Triangle)). To calculate Angle B of Triangle, you need Side C of Triangle (Sc), Side A of Triangle (Sa) & Side B of Triangle (Sb). With our tool, you need to enter the respective value for Side C of Triangle, Side A of Triangle & Side B of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know