Smaller 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%
✖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 Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.ⓘ Smaller Angle of Scalene Triangle [∠_Smaller]

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Smaller Angle of Scalene Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Smaller Angle of Scalene Triangle - (Measured in Radian) - The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter 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.
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

Longer Side of Scalene Triangle: 20 Meter --> 20 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

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

Evaluating ... ...

∠_Smaller = 0.482765923325734

STEP 3: Convert Result to Output's Unit

0.482765923325734 Radian -->27.6604498993061 Degree (Check conversion here)

FINAL ANSWER

27.6604498993061 ≈ 27.66045 Degree <-- Smaller Angle of Scalene Triangle

(Calculation completed in 00.008 seconds)

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Created by Jaseem K

IIT Madras (IIT Madras), Chennai

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Smaller Angle of Scalene Triangle Calculators

Smaller Angle of Scalene Triangle

LaTeX 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))

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

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

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

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

Smaller Angle of Scalene Triangle given other Angles

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

< Angles 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))

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)

Smaller 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 Smaller Angle of Scalene Triangle?

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

How to calculate Smaller Angle of Scalene Triangle using this online calculator? To use this online calculator for Smaller Angle of Scalene Triangle, enter Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium) & Shorter Side of Scalene Triangle (S_Shorter) and hit the calculate button. Here is how the Smaller Angle of Scalene Triangle calculation can be explained with given input values -> 1584.827 = acos((20^2+14^2-10^2)/(2*20*14)).

FAQ

What is Smaller Angle of Scalene Triangle?

The Smaller Angle of Scalene Triangle formula is defined as the angle opposite to shorter side of the Scalene triangle and is represented as ∠_Smaller = acos((S_Longer^2+S_Medium^2-S_Shorter^2)/(2*S_Longer*S_Medium)) or 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)). 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, 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 Smaller Angle of Scalene Triangle?

The Smaller Angle of Scalene Triangle formula is defined as the angle opposite to shorter side of the Scalene triangle is calculated using 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)). To calculate Smaller Angle of Scalene Triangle, you need Longer Side of Scalene Triangle (S_Longer), 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 Longer Side 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 Smaller Angle of Scalene Triangle?

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

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

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