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

✖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 [S_Longer]			+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 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.ⓘ Medium Angle of Scalene Triangle [∠_Medium]			+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 given Medium Angle and other Sides [S_Medium]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
S_Medium = sqrt(S_Longer^2+S_Shorter^2-2*S_Longer*S_Shorter*cos(∠_Medium))
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

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.
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.
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.
Medium Angle of Scalene Triangle - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Longer Side of Scalene Triangle: 20 Meter --> 20 Meter No Conversion Required
Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Medium Angle of Scalene Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Medium = sqrt(S_Longer^2+S_Shorter^2-2*S_Longer*S_Shorter*cos(∠_Medium)) --> sqrt(20^2+10^2-2*20*10*cos(0.698131700797601))

Evaluating ... ...

S_Medium = 13.9133828651545

STEP 3: Convert Result to Output's Unit

13.9133828651545 Meter --> No Conversion Required

FINAL ANSWER

13.9133828651545 ≈ 13.91338 Meter <-- Medium Side of Scalene Triangle

(Calculation completed in 00.020 seconds)

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Created by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has created this Calculator and 100+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Medium Side of Scalene Triangle Calculators

Medium Side of Scalene Triangle given Medium Angle and other Sides

LaTeX Go 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))

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

LaTeX Go Medium Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle)

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

LaTeX Go Medium Side of Scalene Triangle = Longer Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)/sin(Larger Angle of Scalene Triangle)

Medium Side of Scalene Triangle

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

< Sides of Scalene Triangle Calculators

Longer Side of Scalene Triangle given Larger Angle and other Sides

LaTeX 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))

Medium Side of Scalene Triangle given Medium Angle and other Sides

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

LaTeX Go Medium Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)/sin(Smaller Angle of Scalene Triangle)

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

LaTeX Go Longer Side of Scalene Triangle = Medium Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)/sin(Medium Angle of Scalene Triangle)

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

LaTeX Go

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

Medium Side of Scalene Triangle given Medium Angle and other Sides calculator uses 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)) to calculate the Medium Side of Scalene Triangle, The Medium Side of Scalene Triangle given Medium Angle and other Sides formula is defined as the length of the side opposite to the medium angle, calculated using its longer side and shorter side - and their inner angle, which is the medium angle. Medium Side of Scalene Triangle is denoted by S_Medium symbol.

How to calculate Medium Side of Scalene Triangle given Medium Angle and other Sides using this online calculator? To use this online calculator for Medium Side of Scalene Triangle given Medium Angle and other Sides, enter Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium) and hit the calculate button. Here is how the Medium Side of Scalene Triangle given Medium Angle and other Sides calculation can be explained with given input values -> 13.91338 = sqrt(20^2+10^2-2*20*10*cos(0.698131700797601)).

FAQ

What is Medium Side of Scalene Triangle given Medium Angle and other Sides?

The Medium Side of Scalene Triangle given Medium Angle and other Sides formula is defined as the length of the side opposite to the medium angle, calculated using its longer side and shorter side - and their inner angle, which is the medium angle and is represented as S_Medium = sqrt(S_Longer^2+S_Shorter^2-2*S_Longer*S_Shorter*cos(∠_Medium)) or 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)). 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, 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 & 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.

How to calculate Medium Side of Scalene Triangle given Medium Angle and other Sides?

The Medium Side of Scalene Triangle given Medium Angle and other Sides formula is defined as the length of the side opposite to the medium angle, calculated using its longer side and shorter side - and their inner angle, which is the medium angle is calculated using 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)). To calculate Medium Side of Scalene Triangle given Medium Angle and other Sides, you need Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium). With our tool, you need to enter the respective value for Longer Side of Scalene Triangle, Shorter Side of Scalene Triangle & Medium 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 Medium Side of Scalene Triangle?

In this formula, Medium Side of Scalene Triangle uses Longer Side of Scalene Triangle, Shorter Side of Scalene Triangle & Medium Angle of Scalene Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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