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Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Formula

GoPerimeter of Scalene Triangle Formula

GoPerimeter of Scalene Triangle given Larger Angle and Adjacent Sides Formula

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The Perimeter of Scalene Triangle is the total length of the boundary of a given scalene Triangle. That is, the total length of all three sides is the perimeter. Check FAQs

P = S Longer + S Medium + \sqrt{{S Longer}^{2} + {S Medium}^{2} - 2 \cdot S Longer \cdot S Medium \cdot \cos (∠ Smaller)}

P - Perimeter of Scalene Triangle?S_Longer - Longer Side of Scalene Triangle?S_Medium - Medium Side of Scalene Triangle?∠_Smaller - Smaller Angle of Scalene Triangle?

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Example

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Here is how the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides equation looks like with Values.

Here is how the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides equation looks like with Units.

Here is how the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides equation looks like.

44.5369 = 20 + 14 + \sqrt{20^{2} + 14^{2} - 2 \cdot 20 \cdot 14 \cdot \cos (30)}

44.5369m = 20m + 14m + \sqrt{{20m}^{2} + {14m}^{2} - 2 \cdot 20m \cdot 14m \cdot \cos (30°)}

44.5369 = 20 + 14 + \sqrt{20^{2} + 14^{2} - 2 \cdot 20 \cdot 14 \cdot \cos (30)}

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Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Solution

Follow our step by step solution on how to calculate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

FIRST Step Consider the formula

P = S Longer + S Medium + \sqrt{{S Longer}^{2} + {S Medium}^{2} - 2 \cdot S Longer \cdot S Medium \cdot \cos (∠ Smaller)}

Next Step Substitute values of Variables

∴

P = 20m + 14m + \sqrt{{20m}^{2} + {14m}^{2} - 2 \cdot 20m \cdot 14m \cdot \cos (30°)}

Next Step Convert Units

∴

P = 20m + 14m + \sqrt{{20m}^{2} + {14m}^{2} - 2 \cdot 20m \cdot 14m \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

P = 20 + 14 + \sqrt{20^{2} + 14^{2} - 2 \cdot 20 \cdot 14 \cdot \cos (0.5236)}

Next Step Evaluate

∴

P = 44.5368768561047m

LAST Step Rounding Answer

∴

P = 44.5369m

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Formula Elements

Variables

Functions

Perimeter of Scalene Triangle

The Perimeter of Scalene Triangle is the total length of the boundary of a given scalene Triangle. That is, the total length of all three sides is the perimeter.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

cos

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

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Scalene Triangle

Go Perimeter of Scalene Triangle

P = S Longer + S Medium + S Shorter

Go Perimeter of Scalene Triangle given Larger Angle and Adjacent Sides

P = S Medium + S Shorter + \sqrt{{S Medium}^{2} + {S Shorter}^{2} - 2 \cdot S Medium \cdot S Shorter \cdot \cos (∠ Larger)}

Go Perimeter of Scalene Triangle given Medium Angle and Adjacent Sides

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

How to Evaluate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides evaluator uses Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle)) to evaluate the Perimeter of Scalene Triangle, The Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total length of the boundary of the Scalene triangle, calculated using its smaller angle and adjacent sides - larger side and medium side. Perimeter of Scalene Triangle is denoted by P symbol.

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

FAQs on Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides

What is the formula to find Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

The formula of Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides is expressed as Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle)). Here is an example- 44.53688 = 20+14+sqrt(20^2+14^2-2*20*14*cos(0.5235987755982)).

How to calculate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

With Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium) & Smaller Angle of Scalene Triangle (∠_Smaller) we can find Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides using the formula - Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Scalene Triangle?

Here are the different ways to Calculate Perimeter of Scalene Triangle-

Perimeter of Scalene Triangle=Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle
Perimeter of Scalene Triangle=Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle+sqrt(Medium Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-2*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle*cos(Larger Angle of Scalene Triangle))
Perimeter of Scalene Triangle=Longer Side of Scalene Triangle+Shorter Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle*cos(Medium Angle of Scalene Triangle))

Can the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides be negative?

No, the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides can be measured.

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Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Formula

​GoPerimeter of Scalene Triangle Formula

​GoPerimeter of Scalene Triangle given Larger Angle and Adjacent Sides Formula

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Example

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Solution

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Formula Elements

Other Formulas to find Perimeter of Scalene Triangle

How to Evaluate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

FAQs on Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides

Variable Name

GoPerimeter of Scalene Triangle Formula

GoPerimeter of Scalene Triangle given Larger Angle and Adjacent Sides Formula