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Cos A given Three Sides of Triangle Formula

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

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

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

Cos A given Three Sides of Triangle Example

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

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

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

0.8857 = \frac{14^{2} + 20^{2} - 10^{2}}{2 \cdot 14 \cdot 20}

0.8857 = \frac{{14m}^{2} + {20m}^{2} - {10m}^{2}}{2 \cdot 14m \cdot 20m}

0.8857 = \frac{14^{2} + 20^{2} - 10^{2}}{2 \cdot 14 \cdot 20}

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Cos A given Three Sides of Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

cos ∠A = 0.885714285714286

LAST Step Rounding Answer

∴

cos ∠A = 0.8857

Cos A given Three Sides of Triangle Formula Elements

Variables

Cos A

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

Symbol: cos ∠A

Measurement: NAUnit: Unitless

Note: Value should be between -1.01 to 1.01.

Formulas to find Cos A

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

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

Other formulas in Cosine Formula or Cosine Rule category

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}

Go Cos C given Three Sides of Triangle

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

How to Evaluate Cos A given Three Sides of Triangle?

Cos A given Three Sides of Triangle evaluator 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 evaluate 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 evaluate Cos A given Three Sides of Triangle using this online evaluator? To use this online evaluator 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.

FAQs on Cos A given Three Sides of Triangle

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

The formula of Cos A given Three Sides of Triangle is expressed as 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). Here is an example- 0.885714 = (14^2+20^2-10^2)/(2*14*20).

How to calculate Cos A given Three Sides of Triangle?

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

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Cos A given Three Sides of Triangle Formula

Cos A given Three Sides of Triangle Example

Cos A given Three Sides of Triangle Solution

Cos A given Three Sides of Triangle Formula Elements

Other formulas in Cosine Formula or Cosine Rule category

How to Evaluate Cos A given Three Sides of Triangle?

FAQs on Cos A given Three Sides of Triangle

Variable Name