Angle A of Triangle Calculator

✖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%
✖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 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]

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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((S_c^2+S_b^2-S_a^2)/(2*S_c*S_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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., 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((S_c^2+S_b^2-S_a^2)/(2*S_c*S_b)) --> 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)

FINAL ANSWER

27.6604498993061 ≈ 27.66045 Degree <-- Angle A of Triangle

(Calculation completed in 00.020 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Angles of Triangle Calculators

Angle A of Triangle

LaTeX Go 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

LaTeX Go 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

LaTeX Go 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

LaTeX Go Angle C of Triangle = pi-(Angle A of Triangle+Angle B of Triangle)

< Angle of Triangle Calculators

Angle A of Triangle

LaTeX Go 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

LaTeX Go 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

LaTeX Go 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

LaTeX Go Angle C of Triangle = pi-(Angle A of Triangle+Angle B of Triangle)

Angle A of Triangle Formula

LaTeX Go

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((S_c^2+S_b^2-S_a^2)/(2*S_c*S_b))

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 (S_c), Side B of Triangle (S_b) & Side A of Triangle (S_a) and hit the calculate button. Here is how the Angle A of Triangle calculation can be explained with given input values -> 1584.827 = 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((S_c^2+S_b^2-S_a^2)/(2*S_c*S_b)) 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 (S_c), Side B of Triangle (S_b) & Side A of Triangle (S_a). 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.

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