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Cos C given Three Sides of Triangle Formula

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Cos C is the value of the trigonometric cosine function of the angle C of the triangle. Check FAQs

cos ∠C = \frac{{S a}^{2} + {S b}^{2} - {S c}^{2}}{2 \cdot S a \cdot S b}

cos ∠C - Cos C?S_a - Side A of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?

Cos C given Three Sides of Triangle Example

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Here is how the Cos C given Three Sides of Triangle equation looks like with Values.

Here is how the Cos C given Three Sides of Triangle equation looks like with Units.

Here is how the Cos C given Three Sides of Triangle equation looks like.

-0.3714 = \frac{10^{2} + 14^{2} - 20^{2}}{2 \cdot 10 \cdot 14}

-0.3714 = \frac{{10m}^{2} + {14m}^{2} - {20m}^{2}}{2 \cdot 10m \cdot 14m}

-0.3714 = \frac{10^{2} + 14^{2} - 20^{2}}{2 \cdot 10 \cdot 14}

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Cos C given Three Sides of Triangle Solution

Follow our step by step solution on how to calculate Cos C given Three Sides of Triangle?

FIRST Step Consider the formula

cos ∠C = \frac{{S a}^{2} + {S b}^{2} - {S c}^{2}}{2 \cdot S a \cdot S b}

Next Step Substitute values of Variables

∴

cos ∠C = \frac{{10m}^{2} + {14m}^{2} - {20m}^{2}}{2 \cdot 10m \cdot 14m}

Next Step Prepare to Evaluate

∴

cos ∠C = \frac{10^{2} + 14^{2} - 20^{2}}{2 \cdot 10 \cdot 14}

Next Step Evaluate

∴

cos ∠C = -0.371428571428571

LAST Step Rounding Answer

∴

cos ∠C = -0.3714

Cos C given Three Sides of Triangle Formula Elements

Variables

Cos C

Cos C is the value of the trigonometric cosine function of the angle C of the triangle.

Symbol: cos ∠C

Measurement: NAUnit: Unitless

Note: Value should be between -1.01 to 1.01.

Formulas to find Cos C

Side A 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.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

Side B 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.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

Side C 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.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

Other formulas in Cosine Formula or Cosine Rule category

Go Cos A given Three Sides of Triangle

cos ∠A = \frac{{S b}^{2} + {S c}^{2} - {S a}^{2}}{2 \cdot S b \cdot S c}

Go Cos B given Three Sides of Triangle

cos ∠B = \frac{{S c}^{2} + {S a}^{2} - {S b}^{2}}{2 \cdot S a \cdot S c}

How to Evaluate Cos C given Three Sides of Triangle?

Cos C given Three Sides of Triangle evaluator uses 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) to evaluate the Cos C, The Cos C given Three Sides of Triangle formula is defined as the value of cos C using the values of the three sides of the triangle. Cos C is denoted by cos ∠C symbol.

How to evaluate Cos C given Three Sides of Triangle using this online evaluator? To use this online evaluator for Cos C given Three Sides of Triangle, enter Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) and hit the calculate button.

FAQs on Cos C given Three Sides of Triangle

What is the formula to find Cos C given Three Sides of Triangle?

The formula of Cos C given Three Sides of Triangle is expressed as 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). Here is an example- -0.371429 = (10^2+14^2-20^2)/(2*10*14).

How to calculate Cos C given Three Sides of Triangle?

With Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) we can find Cos C given Three Sides of Triangle using the formula - 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).

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Cos C given Three Sides of Triangle Formula

Cos C given Three Sides of Triangle Example

Cos C given Three Sides of Triangle Solution

Cos C given Three Sides of Triangle Formula Elements

Other formulas in Cosine Formula or Cosine Rule category

How to Evaluate Cos C given Three Sides of Triangle?

FAQs on Cos C given Three Sides of Triangle

Variable Name