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

GoLonger Side of Scalene Triangle given Larger Angle, Medium Angle and Medium Side Formula

GoLonger Side of Scalene Triangle given Semi Perimeter and other Sides Formula

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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. Check FAQs

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

S_Longer - Longer Side of Scalene Triangle?S_Shorter - Shorter Side of Scalene Triangle?∠_Larger - Larger Angle of Scalene Triangle?∠_Smaller - Smaller Angle of Scalene Triangle?

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

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Here is how the Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side equation looks like with Values.

Here is how the Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side equation looks like with Units.

Here is how the Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side equation looks like.

18.7939 = 10 \cdot \frac{\sin (110)}{\sin (30)}

18.7939m = 10m \cdot \frac{\sin (110°)}{\sin (30°)}

18.7939 = 10 \cdot \frac{\sin (110)}{\sin (30)}

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

Follow our step by step solution on how to calculate Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S Longer = 10m \cdot \frac{\sin (110°)}{\sin (30°)}

Next Step Convert Units

∴

S Longer = 10m \cdot \frac{\sin (1.9199rad)}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

S Longer = 10 \cdot \frac{\sin (1.9199)}{\sin (0.5236)}

Next Step Evaluate

∴

S Longer = 18.7938524157207m

LAST Step Rounding Answer

∴

S Longer = 18.7939m

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

Variables

Functions

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

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Longer Side of Scalene Triangle

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 Longer Side of Scalene Triangle given Semi Perimeter and other Sides

S Longer = 2 \cdot s - (S Medium + S Shorter)

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

S Longer = P - (S Medium + S Shorter)

How to Evaluate Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side?

Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side evaluator uses Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle) to evaluate the Longer Side of Scalene Triangle, The Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side formula is defined as the side of the triangle opposite to the larger angle, calculated using its larger angle, smaller angle, and shorter side. Longer Side of Scalene Triangle is denoted by S_Longer symbol.

How to evaluate Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side using this online evaluator? To use this online evaluator for Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side, enter Shorter Side of Scalene Triangle (S_Shorter), Larger Angle of Scalene Triangle (∠_Larger) & Smaller Angle of Scalene Triangle (∠_Smaller) and hit the calculate button.

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

What is the formula to find Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side?

The formula of Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side is expressed as Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle). Here is an example- 18.79385 = 10*sin(1.9198621771934)/sin(0.5235987755982).

How to calculate Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side?

With Shorter Side of Scalene Triangle (S_Shorter), Larger Angle of Scalene Triangle (∠_Larger) & Smaller Angle of Scalene Triangle (∠_Smaller) we can find Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side using the formula - Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle). This formula also uses Sine (sin) function(s).

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

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

Longer Side of Scalene Triangle=Medium Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Medium Angle of Scalene Triangle)
Longer Side of Scalene Triangle=2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)
Longer 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))

Can the Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side be negative?

No, the Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side, measured in Length cannot be negative.

Which unit is used to measure Longer Side of Scalene Triangle given Larger Angle, Smaller Angle and Shorter Side?

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

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