## Angle A of Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
∠A = acos((Sc^2+Sb^2-Sa^2)/(2*Sc*Sb))
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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠A = acos((Sc^2+Sb^2-Sa^2)/(2*Sc*Sb)) --> acos((20^2+14^2-10^2)/(2*20*14))
Evaluating ... ...
∠A = 0.482765923325734
STEP 3: Convert Result to Output's Unit
0.482765923325734 Radian -->27.6604498993061 Degree (Check conversion here)
27.6604498993061 27.66045 Degree <-- Angle A 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 A of Triangle Formula

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))
∠A = acos((Sc^2+Sb^2-Sa^2)/(2*Sc*Sb))

## 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 A of Triangle?

Angle A of Triangle calculator uses 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)) to calculate the Angle A of Triangle, The Angle A of Triangle formula is defined as the measure of the wideness of two sides that join to form the corner, opposite to side A of the Triangle. Angle A of Triangle is denoted by ∠A symbol.

How to calculate Angle A of Triangle using this online calculator? To use this online calculator for Angle A of Triangle, enter Side C of Triangle (Sc), Side B of Triangle (Sb) & Side A of Triangle (Sa) and hit the calculate button. Here is how the Angle A of Triangle calculation can be explained with given input values -> 27.66045 = acos((20^2+14^2-10^2)/(2*20*14)).

### FAQ

What is Angle A of Triangle?
The Angle A of Triangle formula is defined as the measure of the wideness of two sides that join to form the corner, opposite to side A of the Triangle and is represented as ∠A = acos((Sc^2+Sb^2-Sa^2)/(2*Sc*Sb)) or 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)). 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 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.
How to calculate Angle A of Triangle?
The Angle A of Triangle formula is defined as the measure of the wideness of two sides that join to form the corner, opposite to side A of the Triangle is calculated using 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)). To calculate Angle A of Triangle, you need Side C of Triangle (Sc), Side B of Triangle (Sb) & Side A of Triangle (Sa). With our tool, you need to enter the respective value for Side C of Triangle, Side B of Triangle & Side A 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