Medium Angle of Scalene Triangle 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 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%

✖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]

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Formula

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Medium Angle of Scalene Triangle

Formula

`"∠"_{"Medium"} = acos(("S"_{"Longer"}^2+"S"_{"Shorter"}^2-"S"_{"Medium"}^2)/(2*"S"_{"Longer"}*"S"_{"Shorter"}))`

Example

`"40.5358°"=acos((("20m")^2+("10m")^2-("14m")^2)/(2*"20m"*"10m"))`

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Medium Angle of Scalene Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle))
∠_Medium = acos((S_Longer^2+S_Shorter^2-S_Medium^2)/(2*S_Longer*S_Shorter))
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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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 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.

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 Side of Scalene Triangle: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Medium = acos((S_Longer^2+S_Shorter^2-S_Medium^2)/(2*S_Longer*S_Shorter)) --> acos((20^2+10^2-14^2)/(2*20*10))

Evaluating ... ...

∠_Medium = 0.707483211779343

STEP 3: Convert Result to Output's Unit

0.707483211779343 Radian -->40.5358021113242 Degree (Check conversion here)

FINAL ANSWER

40.5358021113242 ≈ 40.5358 Degree <-- Medium Angle of Scalene Triangle

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Scalene Triangle » Angles in Scalene Triangle » Medium Angle of Scalene Triangle » Medium Angle of Scalene Triangle

Credits

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

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Medium Angle of Scalene Triangle Calculators

Medium Angle of Scalene Triangle

Go Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle))

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

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

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

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

Medium Angle of Scalene Triangle given other Angles

Go Medium Angle of Scalene Triangle = pi-(Larger Angle of Scalene Triangle+Smaller Angle of Scalene Triangle)

< 6 Angles of Scalene Triangle Calculators

Smaller Angle of Scalene Triangle

Go Smaller Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-Shorter Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle))

Larger Angle of Scalene Triangle

Go Larger Angle of Scalene Triangle = acos((Medium Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Longer Side of Scalene Triangle^2)/(2*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle))

Medium Angle of Scalene Triangle

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

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

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

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

Larger Angle of Scalene Triangle given other Angles

Go Larger Angle of Scalene Triangle = pi-(Medium Angle of Scalene Triangle+Smaller Angle of Scalene Triangle)

Medium Angle of Scalene Triangle Formula

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 Angle of Scalene Triangle?

Medium Angle of Scalene Triangle calculator uses Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle)) to calculate the Medium Angle of Scalene Triangle, The Medium Angle of Scalene Triangle formula is defined as the angle opposite to the medium side of the Scalene Triangle. Medium Angle of Scalene Triangle is denoted by ∠_Medium symbol.

How to calculate Medium Angle of Scalene Triangle using this online calculator? To use this online calculator for Medium Angle of Scalene Triangle, enter Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Side of Scalene Triangle (S_Medium) and hit the calculate button. Here is how the Medium Angle of Scalene Triangle calculation can be explained with given input values -> 2322.53 = acos((20^2+10^2-14^2)/(2*20*10)).

FAQ

What is Medium Angle of Scalene Triangle?

The Medium Angle of Scalene Triangle formula is defined as the angle opposite to the medium side of the Scalene Triangle and is represented as ∠_Medium = acos((S_Longer^2+S_Shorter^2-S_Medium^2)/(2*S_Longer*S_Shorter)) or Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter 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, 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 Side of Scalene Triangle is the length of the second longer side out of the three sides.

How to calculate Medium Angle of Scalene Triangle?

The Medium Angle of Scalene Triangle formula is defined as the angle opposite to the medium side of the Scalene Triangle is calculated using Medium Angle of Scalene Triangle = acos((Longer Side of Scalene Triangle^2+Shorter Side of Scalene Triangle^2-Medium Side of Scalene Triangle^2)/(2*Longer Side of Scalene Triangle*Shorter Side of Scalene Triangle)). To calculate Medium Angle of Scalene Triangle, you need Longer Side of Scalene Triangle (S_Longer), Shorter Side of Scalene Triangle (S_Shorter) & Medium Side of Scalene Triangle (S_Medium). With our tool, you need to enter the respective value for Longer Side of Scalene Triangle, Shorter Side of Scalene Triangle & Medium 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 Medium Angle of Scalene Triangle?

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

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

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