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Larger Angle of Scalene Triangle Formula

GoLarger Angle of Scalene Triangle given other Angles Formula

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Larger Angle of Scalene Triangle is the measure of wideness of sides which join to form the corner which is opposite to the longer side of the Scalene Triangle. Check FAQs

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

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

Larger Angle of Scalene Triangle Example

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

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

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

111.8037 = a \cos (\frac{14^{2} + 10^{2} - 20^{2}}{2 \cdot 14 \cdot 10})

111.8037° = a \cos (\frac{{14m}^{2} + {10m}^{2} - {20m}^{2}}{2 \cdot 14m \cdot 10m})

111.8037 = a \cos (\frac{14^{2} + 10^{2} - 20^{2}}{2 \cdot 14 \cdot 10})

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Larger Angle of Scalene Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

∠ Larger = 1.95134351848472rad

Next Step Convert to Output's Unit

∴

∠ Larger = 111.803747989404°

LAST Step Rounding Answer

∴

∠ Larger = 111.8037°

Larger Angle of Scalene Triangle Formula Elements

Variables

Functions

Larger Angle of Scalene Triangle

Larger Angle of Scalene Triangle is the measure of wideness of sides which join to form the corner which is opposite to the longer side of the Scalene Triangle.

Symbol: ∠_Larger

Measurement: AngleUnit: °

Note: Value should be between 60 to 180.

Formulas to find Larger Angle 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

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

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 Larger Angle of Scalene Triangle

Go Larger Angle of Scalene Triangle given other Angles

∠ Larger = π - (∠ Medium + ∠ Smaller)

Other formulas in Larger Angle of Scalene Triangle category

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))

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 Larger Angle of Scalene Triangle?

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

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

FAQs on Larger Angle of Scalene Triangle

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

The formula of Larger Angle of Scalene Triangle is expressed as Larger Angle of Scalene Triangle = acos((Medium Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Longer Side of Scalene Triangle^2)/(2*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)). Here is an example- 6405.883 = acos((14^2+10^2-20^2)/(2*14*10)).

How to calculate Larger Angle of Scalene Triangle?

With Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Longer Side of Scalene Triangle (S_Longer) we can find Larger Angle of Scalene Triangle using the formula - Larger Angle of Scalene Triangle = acos((Medium Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Longer Side of Scalene Triangle^2)/(2*Medium 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 Larger Angle of Scalene Triangle?

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

Larger Angle of Scalene Triangle=pi-(Medium Angle of Scalene Triangle+Smaller Angle of Scalene Triangle)

Can the Larger Angle of Scalene Triangle be negative?

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

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

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

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Larger Angle of Scalene Triangle Formula

​GoLarger Angle of Scalene Triangle given other Angles Formula

Larger Angle of Scalene Triangle Example

Larger Angle of Scalene Triangle Solution

Larger Angle of Scalene Triangle Formula Elements

Other Formulas to find Larger Angle of Scalene Triangle

Other formulas in Larger Angle of Scalene Triangle category

How to Evaluate Larger Angle of Scalene Triangle?

FAQs on Larger Angle of Scalene Triangle

Variable Name

GoLarger Angle of Scalene Triangle given other Angles Formula