FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoLonger Side of Scalene Triangle given Larger Angle and other Sides Formula

Fx Copy

LaTeX Copy

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 Medium \cdot \frac{\sin (∠ Larger)}{\sin (∠ Medium)}

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

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

With values

With units

Only example

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

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

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

20.4666 = 14 \cdot \frac{\sin (110)}{\sin (40)}

20.4666m = 14m \cdot \frac{\sin (110°)}{\sin (40°)}

20.4666 = 14 \cdot \frac{\sin (110)}{\sin (40)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Longer Side of Scalene Triangle given Larger Angle, Medium Angle and Medium Side

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S Longer = 14m \cdot \frac{\sin (110°)}{\sin (40°)}

Next Step Convert Units

∴

S Longer = 14m \cdot \frac{\sin (1.9199rad)}{\sin (0.6981rad)}

Next Step Prepare to Evaluate

∴

S Longer = 14 \cdot \frac{\sin (1.9199)}{\sin (0.6981)}

Next Step Evaluate

∴

S Longer = 20.4666308011475m

LAST Step Rounding Answer

∴

S Longer = 20.4666m

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

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

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 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

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 and other Sides

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

Other formulas in Longer Side of Scalene Triangle category

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

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

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

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

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

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

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

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

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

The formula of Longer Side of Scalene Triangle given Larger Angle, Medium Angle and Medium Side is expressed as Longer Side of Scalene Triangle = Medium Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Medium Angle of Scalene Triangle). Here is an example- 20.46663 = 14*sin(1.9198621771934)/sin(0.698131700797601).

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

With Medium Side of Scalene Triangle (S_Medium), Larger Angle of Scalene Triangle (∠_Larger) & Medium Angle of Scalene Triangle (∠_Medium) we can find Longer Side of Scalene Triangle given Larger Angle, Medium Angle and Medium Side using the formula - Longer Side of Scalene Triangle = Medium Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Medium 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=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, Medium Angle and Medium Side be negative?

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

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

Longer Side of Scalene Triangle given Larger Angle, Medium Angle and Medium 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, Medium Angle and Medium Side can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit