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Medium Angle of Scalene Triangle Formula

GoMedium Angle of Scalene Triangle given Longer Side, Medium Side and Larger Angle Formula

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The Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle. Check FAQs

∠ Medium = a \cos (\frac{{S Longer}^{2} + {S Shorter}^{2} - {S Medium}^{2}}{2 \cdot S Longer \cdot S Shorter})

∠_Medium - Medium Angle of Scalene Triangle?S_Longer - Longer Side of Scalene Triangle?S_Shorter - Shorter Side of Scalene Triangle?S_Medium - Medium Side of Scalene Triangle?

Medium Angle of Scalene Triangle Example

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Here is how the Medium Angle of Scalene Triangle equation looks like with Values.

Here is how the Medium Angle of Scalene Triangle equation looks like with Units.

Here is how the Medium Angle of Scalene Triangle equation looks like.

40.5358 = a \cos (\frac{20^{2} + 10^{2} - 14^{2}}{2 \cdot 20 \cdot 10})

40.5358° = a \cos (\frac{{20m}^{2} + {10m}^{2} - {14m}^{2}}{2 \cdot 20m \cdot 10m})

40.5358 = a \cos (\frac{20^{2} + 10^{2} - 14^{2}}{2 \cdot 20 \cdot 10})

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Medium Angle of Scalene Triangle Solution

Follow our step by step solution on how to calculate Medium Angle of Scalene Triangle?

FIRST Step Consider the formula

∠ Medium = a \cos (\frac{{S Longer}^{2} + {S Shorter}^{2} - {S Medium}^{2}}{2 \cdot S Longer \cdot S Shorter})

Next Step Substitute values of Variables

∴

∠ Medium = a \cos (\frac{{20m}^{2} + {10m}^{2} - {14m}^{2}}{2 \cdot 20m \cdot 10m})

Next Step Prepare to Evaluate

∴

∠ Medium = a \cos (\frac{20^{2} + 10^{2} - 14^{2}}{2 \cdot 20 \cdot 10})

Next Step Evaluate

∴

∠ Medium = 0.707483211779343rad

Next Step Convert to Output's Unit

∴

∠ Medium = 40.5358021113242°

LAST Step Rounding Answer

∴

∠ Medium = 40.5358°

Medium Angle of Scalene Triangle Formula Elements

Variables

Functions

Medium Angle of Scalene Triangle

The Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle.

Symbol: ∠_Medium

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Medium Angle of Scalene Triangle

Longer Side of Scalene Triangle

The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle.

Symbol: S_Longer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longer Side of Scalene Triangle

Shorter Side of Scalene Triangle

Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle.

Symbol: S_Shorter

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shorter Side of Scalene Triangle

Medium Side of Scalene Triangle

The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides.

Symbol: S_Medium

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium Side of Scalene Triangle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: acos(Number)

Other Formulas to find Medium Angle of Scalene Triangle

Go Medium Angle of Scalene Triangle given Longer Side, Medium Side and Larger Angle

∠ Medium = a \sin (\frac{S Medium}{S Longer} \cdot \sin (∠ Larger))

Other formulas in Medium Angle of Scalene Triangle category

Go Larger Angle of Scalene Triangle

∠ Larger = a \cos (\frac{{S Medium}^{2} + {S Shorter}^{2} - {S Longer}^{2}}{2 \cdot S Medium \cdot S Shorter})

Go Larger Angle of Scalene Triangle given other Angles

∠ Larger = π - (∠ Medium + ∠ Smaller)

Go Smaller Angle of Scalene Triangle

∠ Smaller = a \cos (\frac{{S Longer}^{2} + {S Medium}^{2} - {S Shorter}^{2}}{2 \cdot S Longer \cdot S Medium})

Go Smaller Angle of Scalene Triangle given Medium Side, Shorter Side and Medium Angle

∠ Smaller = a \sin (\frac{S Shorter}{S Medium} \cdot \sin (∠ Medium))

How to Evaluate Medium Angle of Scalene Triangle?

Medium Angle of Scalene Triangle evaluator uses Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle)) to evaluate the Medium Angle of Scalene Triangle, The Medium Angle of Scalene Triangle formula is defined as the angle opposite to the medium side of the Scalene Triangle. Medium Angle of Scalene Triangle is denoted by ∠_Medium symbol.

How to evaluate Medium Angle of Scalene Triangle using this online evaluator? To use this online evaluator for Medium Angle of Scalene Triangle, enter Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Side of Scalene Triangle (S_Medium) and hit the calculate button.

FAQs on Medium Angle of Scalene Triangle

What is the formula to find Medium Angle of Scalene Triangle?

The formula of Medium Angle of Scalene Triangle is expressed as Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle)). Here is an example- 2322.53 = acos((20^2+10^2-14^2)/(2*20*10)).

How to calculate Medium Angle of Scalene Triangle?

With Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Side of Scalene Triangle (S_Medium) we can find Medium Angle of Scalene Triangle using the formula - Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Medium Angle of Scalene Triangle?

Here are the different ways to Calculate Medium Angle of Scalene Triangle-

Medium Angle of Scalene Triangle=asin(Medium Side of Scalene Triangle/Longer Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle))

Can the Medium Angle of Scalene Triangle be negative?

No, the Medium Angle of Scalene Triangle, measured in Angle cannot be negative.

Which unit is used to measure Medium Angle of Scalene Triangle?

Medium Angle of Scalene Triangle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Medium Angle of Scalene Triangle can be measured.

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Medium Angle of Scalene Triangle Formula

​GoMedium Angle of Scalene Triangle given Longer Side, Medium Side and Larger Angle Formula

Medium Angle of Scalene Triangle Example

Medium Angle of Scalene Triangle Solution

Medium Angle of Scalene Triangle Formula Elements

Other Formulas to find Medium Angle of Scalene Triangle

Other formulas in Medium Angle of Scalene Triangle category

How to Evaluate Medium Angle of Scalene Triangle?

FAQs on Medium Angle of Scalene Triangle

Variable Name

GoMedium Angle of Scalene Triangle given Longer Side, Medium Side and Larger Angle Formula