Larger Angle of Scalene Triangle 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%
✖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%

✖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]

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Larger Angle of Scalene Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∠_Larger = acos((S_Medium^2+S_Shorter^2-S_Longer^2)/(2*S_Medium*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

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.
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.
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.

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
Longer Side of Scalene Triangle: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

∠_Larger = 1.95134351848472

STEP 3: Convert Result to Output's Unit

1.95134351848472 Radian -->111.803747989404 Degree (Check conversion here)

FINAL ANSWER

111.803747989404 ≈ 111.8037 Degree <-- Larger Angle 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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< Larger Angle of Scalene Triangle Calculators

Larger Angle of Scalene Triangle

LaTeX 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))

Larger Angle of Scalene Triangle given other Angles

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

< Angles of Scalene Triangle Calculators

Larger Angle of Scalene Triangle

Medium Angle of Scalene Triangle

LaTeX 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 Longer Side, Medium Side and Larger Angle

LaTeX 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

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

Larger Angle of Scalene Triangle 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 Larger Angle of Scalene Triangle?

Larger Angle of Scalene Triangle calculator uses 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)) to calculate the Larger Angle of Scalene Triangle, The Larger Angle of Scalene Triangle formula is defined as the angle opposite to longer side of the Scalene triangle. Larger Angle of Scalene Triangle is denoted by ∠_Larger symbol.

How to calculate Larger Angle of Scalene Triangle using this online calculator? To use this online calculator for Larger Angle of Scalene Triangle, enter Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Longer Side of Scalene Triangle (S_Longer) and hit the calculate button. Here is how the Larger Angle of Scalene Triangle calculation can be explained with given input values -> 6405.883 = acos((14^2+10^2-20^2)/(2*14*10)).

FAQ

What is Larger Angle of Scalene Triangle?

The Larger Angle of Scalene Triangle formula is defined as the angle opposite to longer side of the Scalene triangle and is represented as ∠_Larger = acos((S_Medium^2+S_Shorter^2-S_Longer^2)/(2*S_Medium*S_Shorter)) or 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)). 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 & 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.

How to calculate Larger Angle of Scalene Triangle?

The Larger Angle of Scalene Triangle formula is defined as the angle opposite to longer side of the Scalene triangle is calculated using 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)). To calculate Larger Angle of Scalene Triangle, you need Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Longer Side of Scalene Triangle (S_Longer). With our tool, you need to enter the respective value for Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Longer 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 Larger Angle of Scalene Triangle?

In this formula, Larger Angle of Scalene Triangle uses Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Longer Side of Scalene Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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