Perimeter of Scalene Triangle given Smaller Angle and Adjacent 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%
✖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 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]			+10% -10%

✖The Perimeter of Scalene Triangle is the total length of the boundary of a given scalene Triangle. That is, the total length of all three sides is the perimeter.ⓘ Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides [P]

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Formula

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Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides

Formula

`"P" = "S"_{"Longer"}+"S"_{"Medium"}+sqrt("S"_{"Longer"}^2+"S"_{"Medium"}^2-2*"S"_{"Longer"}*"S"_{"Medium"}*cos("∠"_{"Smaller"}))`

Example

`"44.53688m"="20m"+"14m"+sqrt(("20m")^2+("14m")^2-2*"20m"*"14m"*cos("30°"))`

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Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle))
P = S_Longer+S_Medium+sqrt(S_Longer^2+S_Medium^2-2*S_Longer*S_Medium*cos(∠_Smaller))
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

Perimeter of Scalene Triangle - (Measured in Meter) - The Perimeter of Scalene Triangle is the total length of the boundary of a given scalene Triangle. That is, the total length of all three sides is the perimeter.
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.
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.

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
Smaller Angle of Scalene Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = S_Longer+S_Medium+sqrt(S_Longer^2+S_Medium^2-2*S_Longer*S_Medium*cos(∠_Smaller)) --> 20+14+sqrt(20^2+14^2-2*20*14*cos(0.5235987755982))

Evaluating ... ...

P = 44.5368768561047

STEP 3: Convert Result to Output's Unit

44.5368768561047 Meter --> No Conversion Required

FINAL ANSWER

44.5368768561047 ≈ 44.53688 Meter <-- Perimeter of Scalene Triangle

(Calculation completed in 00.020 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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< 4 Perimeter of Scalene Triangle Calculators

Perimeter of Scalene Triangle given Larger Angle and Adjacent Sides

Go Perimeter of Scalene Triangle = Medium Side of Scalene Triangle+Shorter 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))

Perimeter of Scalene Triangle given Medium Angle and Adjacent Sides

Go Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Shorter 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))

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides

Go Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle))

Perimeter of Scalene Triangle

Go Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides 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 Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides calculator uses Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle)) to calculate the Perimeter of Scalene Triangle, The Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total length of the boundary of the Scalene triangle, calculated using its smaller angle and adjacent sides - larger side and medium side. Perimeter of Scalene Triangle is denoted by P symbol.

How to calculate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides using this online calculator? To use this online calculator for Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides, enter Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium) & Smaller Angle of Scalene Triangle (∠_Smaller) and hit the calculate button. Here is how the Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides calculation can be explained with given input values -> 44.53688 = 20+14+sqrt(20^2+14^2-2*20*14*cos(0.5235987755982)).

FAQ

What is Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

The Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total length of the boundary of the Scalene triangle, calculated using its smaller angle and adjacent sides - larger side and medium side and is represented as P = S_Longer+S_Medium+sqrt(S_Longer^2+S_Medium^2-2*S_Longer*S_Medium*cos(∠_Smaller)) or Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller 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, The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides & 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.

How to calculate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides?

The Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total length of the boundary of the Scalene triangle, calculated using its smaller angle and adjacent sides - larger side and medium side is calculated using Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+sqrt(Longer Side of Scalene Triangle^2+Medium Side of Scalene Triangle^2-2*Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*cos(Smaller Angle of Scalene Triangle)). To calculate Perimeter of Scalene Triangle given Smaller Angle and Adjacent Sides, you need Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium) & Smaller Angle of Scalene Triangle (∠_Smaller). With our tool, you need to enter the respective value for Longer Side of Scalene Triangle, Medium Side of Scalene Triangle & Smaller 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 Perimeter of Scalene Triangle?

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

Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle
Perimeter of Scalene Triangle = Medium Side of Scalene Triangle+Shorter 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))
Perimeter of Scalene Triangle = Longer Side of Scalene Triangle+Shorter 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))

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