Cos A given Three Sides 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 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 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%

✖Cos A is the value of the trigonometric cosine function of the angle A of the triangle.ⓘ Cos A given Three Sides of Triangle [cos ∠A]

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Cos A given Three Sides of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side C of Triangle)
cos ∠A = (S_b^2+S_c^2-S_a^2)/(2*S_b*S_c)
This formula uses 4 Variables

Variables Used

Cos A - Cos A is the value of the trigonometric cosine function of the angle A of the triangle.
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 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.

STEP 1: Convert Input(s) to Base Unit

Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cos ∠A = (S_b^2+S_c^2-S_a^2)/(2*S_b*S_c) --> (14^2+20^2-10^2)/(2*14*20)

Evaluating ... ...

cos ∠A = 0.885714285714286

STEP 3: Convert Result to Output's Unit

0.885714285714286 --> No Conversion Required

FINAL ANSWER

0.885714285714286 ≈ 0.885714 <-- Cos A

(Calculation completed in 00.006 seconds)

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< Cosine Formula or Cosine Rule Calculators

Cos A given Three Sides of Triangle

LaTeX Go Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side C of Triangle)

Cos B given Three Sides of Triangle

LaTeX Go Cos B = (Side C of Triangle^2+Side A of Triangle^2-Side B of Triangle^2)/(2*Side A of Triangle*Side C of Triangle)

Cos C given Three Sides of Triangle

LaTeX Go Cos C = (Side A of Triangle^2+Side B of Triangle^2-Side C of Triangle^2)/(2*Side A of Triangle*Side B of Triangle)

Cos A given Three Sides of Triangle Formula

LaTeX Go

Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side C of Triangle)
cos ∠A = (S_b^2+S_c^2-S_a^2)/(2*S_b*S_c)

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.

What is Cosine Function in a Triangle?

The Cosine Function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

How to Calculate Cos A given Three Sides of Triangle?

Cos A given Three Sides of Triangle calculator uses Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side C of Triangle) to calculate the Cos A, The Cos A given Three Sides of Triangle formula is defined as the value of cos A using the values of the three sides of the triangle. Cos A is denoted by cos ∠A symbol.

How to calculate Cos A given Three Sides of Triangle using this online calculator? To use this online calculator for Cos A given Three Sides of Triangle, enter Side B of Triangle (S_b), Side C of Triangle (S_c) & Side A of Triangle (S_a) and hit the calculate button. Here is how the Cos A given Three Sides of Triangle calculation can be explained with given input values -> 0.885714 = (14^2+20^2-10^2)/(2*14*20).

FAQ

What is Cos A given Three Sides of Triangle?

The Cos A given Three Sides of Triangle formula is defined as the value of cos A using the values of the three sides of the triangle and is represented as cos ∠A = (S_b^2+S_c^2-S_a^2)/(2*S_b*S_c) or Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side 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 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.

How to calculate Cos A given Three Sides of Triangle?

The Cos A given Three Sides of Triangle formula is defined as the value of cos A using the values of the three sides of the triangle is calculated using Cos A = (Side B of Triangle^2+Side C of Triangle^2-Side A of Triangle^2)/(2*Side B of Triangle*Side C of Triangle). To calculate Cos A given Three Sides of Triangle, you need Side B of Triangle (S_b), Side C of Triangle (S_c) & Side A of Triangle (S_a). With our tool, you need to enter the respective value for Side B of Triangle, Side C 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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