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

✖The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides.ⓘ Medium Side of Scalene Triangle [S_Medium]			+10% -10%
✖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.ⓘ Shorter Side of Scalene Triangle [S_Shorter]			+10% -10%
✖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.ⓘ Larger Angle of Scalene Triangle [∠_Larger]			+10% -10%

✖The Median on Longer Side of Scalene Triangle is a line segment joining the midpoint of the longer side to its opposite vertex.ⓘ Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides [M_Longer]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
M_Longer = sqrt(S_Medium^2+S_Shorter^2+2*S_Medium*S_Shorter*cos(∠_Larger))/2
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Median on Longer Side of Scalene Triangle - (Measured in Meter) - The Median on Longer Side of Scalene Triangle is a line segment joining the midpoint of the longer side to its opposite vertex.
Medium Side of Scalene Triangle - (Measured in Meter) - The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides.
Shorter Side of Scalene Triangle - (Measured in Meter) - 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.
Larger Angle of Scalene Triangle - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Medium Side of Scalene Triangle: 14 Meter --> 14 Meter No Conversion Required
Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Larger Angle of Scalene Triangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Longer = sqrt(S_Medium^2+S_Shorter^2+2*S_Medium*S_Shorter*cos(∠_Larger))/2 --> sqrt(14^2+10^2+2*14*10*cos(1.9198621771934))/2

Evaluating ... ...

M_Longer = 7.0752095352171

STEP 3: Convert Result to Output's Unit

7.0752095352171 Meter --> No Conversion Required

FINAL ANSWER

7.0752095352171 ≈ 7.07521 Meter <-- Median on Longer Side of Scalene Triangle

(Calculation completed in 00.020 seconds)

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< Medians of Scalene Triangle Calculators

Median on Shorter Side of Scalene Triangle given Smaller Angle and Adjacent Sides

LaTeX Go Median on Shorter 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))/2

Median on Medium Side of Scalene Triangle given Medium Angle and Adjacent Sides

LaTeX Go Median on 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))/2

Median on Shorter Side of Scalene Triangle given Three Sides

LaTeX Go Median on Shorter Side of Scalene Triangle = sqrt(2*(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2)-Shorter Side of Scalene Triangle^2)/2

Median on Medium Side of Scalene Triangle given Three Sides

LaTeX Go Median on Medium Side of Scalene Triangle = sqrt(2*(Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2)-Medium Side of Scalene Triangle^2)/2

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

LaTeX Go

Median of Scalene Triangle and it's importance

In a Scalene Triangle the distance from a particular corner to the midpoint of the side which is directly opposite to that corner is called the median of Scalene Triangle from that side. Any Triangle even if it is not a Scalene Triangle, has three medians and for Scalene Triangles all these medians are of different lengths. All the medians of a Triangle join at a single point, which is called the centroid of the Triangle.

What is a Scalene Triangle?

A triangle with all sides distinct in length is called a Scalene Triangle. Mainly triangles are classified into three on the basis of side lengths. If all sides are equal in length then it is called Equilateral Triangle. If only two sides are equal in length then it is called Isosceles Triangle. If no sides are equal, or all sides are distinct in length then it is called Scalene Triangle. Cases are similar in terms of angles also. That is, Equilateral Triangles have all three angles equal. Isosceles Triangles have atleast two angles are equal. And then, Scalene Triangles have all three angles are distinct.

How to Calculate 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 calculator 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 calculate 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 M_Longer symbol.

How to calculate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides using this online calculator? To use this online calculator for Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides, enter Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Larger Angle of Scalene Triangle (∠_Larger) and hit the calculate button. Here is how the Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides calculation can be explained with given input values -> 7.07521 = sqrt(14^2+10^2+2*14*10*cos(1.9198621771934))/2.

FAQ

What is 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 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 and is represented as M_Longer = sqrt(S_Medium^2+S_Shorter^2+2*S_Medium*S_Shorter*cos(∠_Larger))/2 or 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. The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides, 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 & 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.

How to calculate 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 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 is calculated using 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 calculate Median on Longer Side of Scalene Triangle given Larger Angle and Adjacent Sides, you need Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Larger Angle of Scalene Triangle (∠_Larger). With our tool, you need to enter the respective value for Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Larger Angle of Scalene Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Median on Longer Side of Scalene Triangle?

In this formula, Median on Longer Side of Scalene Triangle uses Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Larger Angle of Scalene Triangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)/2

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