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Smaller Angle of Scalene Triangle Formula

GoSmaller Angle of Scalene Triangle given Medium Side, Shorter Side and Medium Angle Formula

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

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

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

Smaller Angle of Scalene Triangle Example

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

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

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

27.6604 = a \cos (\frac{20^{2} + 14^{2} - 10^{2}}{2 \cdot 20 \cdot 14})

27.6604° = a \cos (\frac{{20m}^{2} + {14m}^{2} - {10m}^{2}}{2 \cdot 20m \cdot 14m})

27.6604 = a \cos (\frac{20^{2} + 14^{2} - 10^{2}}{2 \cdot 20 \cdot 14})

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Smaller Angle of Scalene Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

∠ Smaller = 0.482765923325734rad

Next Step Convert to Output's Unit

∴

∠ Smaller = 27.6604498993061°

LAST Step Rounding Answer

∴

∠ Smaller = 27.6604°

Smaller Angle of Scalene Triangle Formula Elements

Variables

Functions

Smaller Angle of Scalene Triangle

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

Symbol: ∠_Smaller

Measurement: AngleUnit: °

Note: Value should be between 0 to 60.

Formulas to find Smaller 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

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

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

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 Smaller Angle of Scalene Triangle

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))

Other formulas in Smaller 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 Medium Angle of Scalene Triangle

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

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))

How to Evaluate Smaller Angle of Scalene Triangle?

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

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

FAQs on Smaller Angle of Scalene Triangle

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

The formula of Smaller Angle of Scalene Triangle is expressed as Smaller Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-Shorter Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle)). Here is an example- 1584.827 = acos((20^2+14^2-10^2)/(2*20*14)).

How to calculate Smaller Angle of Scalene Triangle?

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

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

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

Smaller Angle of Scalene Triangle=asin(Shorter Side of Scalene Triangle/Medium Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle))

Can the Smaller Angle of Scalene Triangle be negative?

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

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

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

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Smaller Angle of Scalene Triangle Formula

​GoSmaller Angle of Scalene Triangle given Medium Side, Shorter Side and Medium Angle Formula

Smaller Angle of Scalene Triangle Example

Smaller Angle of Scalene Triangle Solution

Smaller Angle of Scalene Triangle Formula Elements

Other Formulas to find Smaller Angle of Scalene Triangle

Other formulas in Smaller Angle of Scalene Triangle category

How to Evaluate Smaller Angle of Scalene Triangle?

FAQs on Smaller Angle of Scalene Triangle

Variable Name

GoSmaller Angle of Scalene Triangle given Medium Side, Shorter Side and Medium Angle Formula