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Medium Side of Scalene Triangle given Medium Angle and other Sides Formula

GoMedium Side of Scalene Triangle given Medium Angle, Smaller Angle and Shorter Side Formula

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

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

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

Medium Side of Scalene Triangle given Medium Angle and other Sides Example

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Here is how the Medium Side of Scalene Triangle given Medium Angle and other Sides equation looks like with Values.

Here is how the Medium Side of Scalene Triangle given Medium Angle and other Sides equation looks like with Units.

Here is how the Medium Side of Scalene Triangle given Medium Angle and other Sides equation looks like.

13.9134 = \sqrt{20^{2} + 10^{2} - 2 \cdot 20 \cdot 10 \cdot \cos (40)}

13.9134m = \sqrt{{20m}^{2} + {10m}^{2} - 2 \cdot 20m \cdot 10m \cdot \cos (40°)}

13.9134 = \sqrt{20^{2} + 10^{2} - 2 \cdot 20 \cdot 10 \cdot \cos (40)}

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Medium Side of Scalene Triangle given Medium Angle and other Sides Solution

Follow our step by step solution on how to calculate Medium Side of Scalene Triangle given Medium Angle and other Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S Medium = \sqrt{{20m}^{2} + {10m}^{2} - 2 \cdot 20m \cdot 10m \cdot \cos (40°)}

Next Step Convert Units

∴

S Medium = \sqrt{{20m}^{2} + {10m}^{2} - 2 \cdot 20m \cdot 10m \cdot \cos (0.6981rad)}

Next Step Prepare to Evaluate

∴

S Medium = \sqrt{20^{2} + 10^{2} - 2 \cdot 20 \cdot 10 \cdot \cos (0.6981)}

Next Step Evaluate

∴

S Medium = 13.9133828651545m

LAST Step Rounding Answer

∴

S Medium = 13.9134m

Medium Side of Scalene Triangle given Medium Angle and other Sides Formula Elements

Variables

Functions

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

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 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

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 Medium Side of Scalene Triangle

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

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

Other formulas in Medium Side of Scalene Triangle category

Go Longer Side of Scalene Triangle given Larger Angle and other Sides

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

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

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

Go Shorter Side of Scalene Triangle given Smaller Angle and other Sides

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

Go Shorter Side of Scalene Triangle given Smaller Angle, Larger Angle and Longer Side

S Shorter = S Longer \cdot \frac{\sin (∠ Smaller)}{\sin (∠ Larger)}

How to Evaluate Medium Side of Scalene Triangle given Medium Angle and other Sides?

Medium Side of Scalene Triangle given Medium Angle and other Sides evaluator uses Medium 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)) to evaluate the Medium Side of Scalene Triangle, The Medium Side of Scalene Triangle given Medium Angle and other Sides formula is defined as the length of the side opposite to the medium angle, calculated using its longer side and shorter side - and their inner angle, which is the medium angle. Medium Side of Scalene Triangle is denoted by S_Medium symbol.

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

FAQs on Medium Side of Scalene Triangle given Medium Angle and other Sides

What is the formula to find Medium Side of Scalene Triangle given Medium Angle and other Sides?

The formula of Medium Side of Scalene Triangle given Medium Angle and other Sides is expressed as Medium 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)). Here is an example- 13.91338 = sqrt(20^2+10^2-2*20*10*cos(0.698131700797601)).

How to calculate Medium Side of Scalene Triangle given Medium Angle and other Sides?

With Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium) we can find Medium Side of Scalene Triangle given Medium Angle and other Sides using the formula - Medium 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)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

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

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

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

Can the Medium Side of Scalene Triangle given Medium Angle and other Sides be negative?

No, the Medium Side of Scalene Triangle given Medium Angle and other Sides, measured in Length cannot be negative.

Which unit is used to measure Medium Side of Scalene Triangle given Medium Angle and other Sides?

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

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Medium Side of Scalene Triangle given Medium Angle and other Sides Formula

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

Medium Side of Scalene Triangle given Medium Angle and other Sides Example

Medium Side of Scalene Triangle given Medium Angle and other Sides Solution

Medium Side of Scalene Triangle given Medium Angle and other Sides Formula Elements

Other Formulas to find Medium Side of Scalene Triangle

Other formulas in Medium Side of Scalene Triangle category

How to Evaluate Medium Side of Scalene Triangle given Medium Angle and other Sides?

FAQs on Medium Side of Scalene Triangle given Medium Angle and other Sides

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GoMedium Side of Scalene Triangle given Medium Angle, Smaller Angle and Shorter Side Formula