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The Median on Longer Side of Scalene Triangle is a line segment joining the midpoint of the longer side to its opposite vertex. Check FAQs
MLonger=SMedium2+SShorter2+2SMediumSShortercos(Larger)2
MLonger - Median on Longer Side of Scalene Triangle?SMedium - Medium Side of Scalene Triangle?SShorter - Shorter Side of Scalene Triangle?Larger - Larger Angle of Scalene Triangle?

Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides Example

With values
With units
Only example

Here is how the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides equation looks like with Values.

Here is how the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides equation looks like with Units.

Here is how the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides equation looks like.

7.0752Edit=14Edit2+10Edit2+214Edit10Editcos(110Edit)2
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Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides Solution

Follow our step by step solution on how to calculate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides?

FIRST Step Consider the formula
MLonger=SMedium2+SShorter2+2SMediumSShortercos(Larger)2
Next Step Substitute values of Variables
MLonger=14m2+10m2+214m10mcos(110°)2
Next Step Convert Units
MLonger=14m2+10m2+214m10mcos(1.9199rad)2
Next Step Prepare to Evaluate
MLonger=142+102+21410cos(1.9199)2
Next Step Evaluate
MLonger=7.0752095352171m
LAST Step Rounding Answer
MLonger=7.0752m

Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides Formula Elements

Variables
Functions
Median on Longer Side of Scalene Triangle
The Median on Longer Side of Scalene Triangle is a line segment joining the midpoint of the longer side to its opposite vertex.
Symbol: MLonger
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: SMedium
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: SShorter
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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 Median on Longer Side of Scalene Triangle

​Go Median on Longer Side of Scalene Triangle given Three Sides
MLonger=2(SMedium2+SShorter2)-SLonger22

Other formulas in Medians of Scalene Triangle category

​Go Median on Shorter Side of Scalene Triangle given Three Sides
MShorter=2(SLonger2+SMedium2)-SShorter22
​Go Median on Shorter Side of Scalene Triangle given Smaller Angle and Adjacent Sides
MShorter=SLonger2+SMedium2+2SLongerSMediumcos(Smaller)2
​Go Median on Medium Side of Scalene Triangle given Three Sides
MMedium=2(SLonger2+SShorter2)-SMedium22
​Go Median on Medium Side of Scalene Triangle given Medium Angle and Adjacent Sides
MMedium=SLonger2+SShorter2+2SLongerSShortercos(Medium)2

How to Evaluate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides?

Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides evaluator uses Median on 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))/2 to evaluate the Median on Longer Side of Scalene Triangle, Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides formula is defined is a line segment joining the midpoint of the longer side of the Scalene Triangle to its opposite vertex, calculated using its larger angle and adjacent sides - medium side and shorter side. Median on Longer Side of Scalene Triangle is denoted by MLonger symbol.

How to evaluate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides using this online evaluator? To use this online evaluator for Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides, enter Medium Side of Scalene Triangle (SMedium), Shorter Side of Scalene Triangle (SShorter) & Larger Angle of Scalene Triangle (∠Larger) and hit the calculate button.

FAQs on Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides

What is the formula to find Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides?
The formula of Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides is expressed as Median on 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))/2. Here is an example- 7.07521 = sqrt(14^2+10^2+2*14*10*cos(1.9198621771934))/2.
How to calculate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides?
With Medium Side of Scalene Triangle (SMedium), Shorter Side of Scalene Triangle (SShorter) & Larger Angle of Scalene Triangle (∠Larger) we can find Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides using the formula - Median on 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))/2. This formula also uses Cosine (cos), Square Root (sqrt) function(s).
What are the other ways to Calculate Median on Longer Side of Scalene Triangle?
Here are the different ways to Calculate Median on Longer Side of Scalene Triangle-
  • Median on Longer Side of Scalene Triangle=sqrt(2*(Medium Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2)-Longer Side of Scalene Triangle^2)/2OpenImg
Can the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides be negative?
No, the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides, measured in Length cannot be negative.
Which unit is used to measure Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides?
Median on Longer Side of Scalene Triangle given Larger 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 Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides can be measured.
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