Longer Side of Scalene Triangle given Semi Perimeter and other Sides Calculator

✖Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.ⓘ Semiperimeter of Scalene Triangle [s]			+10% -10%
✖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%

✖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.ⓘ Longer Side of Scalene Triangle given Semi Perimeter and other Sides [S_Longer]

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Formula

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Longer Side of Scalene Triangle given Semi Perimeter and other Sides

Formula

`"S"_{"Longer"} = 2*"s"-("S"_{"Medium"}+"S"_{"Shorter"})`

Example

`"20m"=2*"22m"-("14m"+"10m")`

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Longer Side of Scalene Triangle given Semi Perimeter and other Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longer Side of Scalene Triangle = 2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)
S_Longer = 2*s-(S_Medium+S_Shorter)
This formula uses 4 Variables

Variables Used

Longer Side of Scalene Triangle - (Measured in Meter) - 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.
Semiperimeter of Scalene Triangle - (Measured in Meter) - Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.
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.

STEP 1: Convert Input(s) to Base Unit

Semiperimeter of Scalene Triangle: 22 Meter --> 22 Meter No Conversion Required
Medium Side of Scalene Triangle: 14 Meter --> 14 Meter No Conversion Required
Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Longer = 2*s-(S_Medium+S_Shorter) --> 2*22-(14+10)

Evaluating ... ...

S_Longer = 20

STEP 3: Convert Result to Output's Unit

20 Meter --> No Conversion Required

FINAL ANSWER

20 Meter <-- Longer Side of Scalene Triangle

(Calculation completed in 00.004 seconds)

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Created by Jaseem K

IIT Madras (IIT Madras), Chennai

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Walchand College of Engineering (WCE), Sangli

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< 5 Longer Side of Scalene Triangle Calculators

Longer Side of Scalene Triangle given Larger Angle and other Sides

Go 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))

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

Go Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle)

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

Go 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 given Semi Perimeter and other Sides

Go 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

Go Longer Side of Scalene Triangle = Perimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)

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

Longer Side of Scalene Triangle = 2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)
S_Longer = 2*s-(S_Medium+S_Shorter)

What is a Scalene Triangle ?

A triangle with all sides are 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.

Standard notations

Let a triangle is named as ABC. Then A, B and C represent respective angles of the triangle. They are usually called angle A, angle B and angle C respectively. The sides opposite to angles A, B and C are respectively called side a, side b and side c.

How to Calculate Longer Side of Scalene Triangle given Semi Perimeter and other Sides?

Longer Side of Scalene Triangle given Semi Perimeter and other Sides calculator uses Longer Side of Scalene Triangle = 2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle) to calculate the Longer Side of Scalene Triangle, The Longer Side of Scalene Triangle given Semi Perimeter and other Sides formula is defined as the length of the side opposite to the larger angle, calculated using its semi-perimeter and other sides. Longer Side of Scalene Triangle is denoted by S_Longer symbol.

How to calculate Longer Side of Scalene Triangle given Semi Perimeter and other Sides using this online calculator? To use this online calculator for Longer Side of Scalene Triangle given Semi Perimeter and other Sides, enter Semiperimeter of Scalene Triangle (s), Medium Side of Scalene Triangle (S_Medium) & Shorter Side of Scalene Triangle (S_Shorter) and hit the calculate button. Here is how the Longer Side of Scalene Triangle given Semi Perimeter and other Sides calculation can be explained with given input values -> 20 = 2*22-(14+10).

FAQ

What is Longer Side of Scalene Triangle given Semi Perimeter and other Sides?

The Longer Side of Scalene Triangle given Semi Perimeter and other Sides formula is defined as the length of the side opposite to the larger angle, calculated using its semi-perimeter and other sides and is represented as S_Longer = 2*s-(S_Medium+S_Shorter) or Longer Side of Scalene Triangle = 2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle). Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle, 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.

How to calculate Longer Side of Scalene Triangle given Semi Perimeter and other Sides?

The Longer Side of Scalene Triangle given Semi Perimeter and other Sides formula is defined as the length of the side opposite to the larger angle, calculated using its semi-perimeter and other sides is calculated using Longer Side of Scalene Triangle = 2*Semiperimeter of Scalene Triangle-(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle). To calculate Longer Side of Scalene Triangle given Semi Perimeter and other Sides, you need Semiperimeter of Scalene Triangle (s), Medium Side of Scalene Triangle (S_Medium) & Shorter Side of Scalene Triangle (S_Shorter). With our tool, you need to enter the respective value for Semiperimeter of Scalene Triangle, Medium Side of Scalene Triangle & Shorter Side 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 Longer Side of Scalene Triangle?

In this formula, Longer Side of Scalene Triangle uses Semiperimeter of Scalene Triangle, Medium Side of Scalene Triangle & Shorter Side of Scalene Triangle. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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