Area of Scalene Triangle by Heron's Formula Calculator

✖Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.ⓘ Semiperimeter of Scalene Triangle [s]			+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%
✖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 Area of Scalene Triangle is the total amount of space or region occupied by the Scalene Triangle.ⓘ Area of Scalene Triangle by Heron's Formula [A]

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Area of Scalene Triangle by Heron's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Scalene Triangle = sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle))
A = sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter))
This formula uses 1 Functions, 5 Variables

Functions Used

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

Area of Scalene Triangle - (Measured in Square Meter) - The Area of Scalene Triangle is the total amount of space or region occupied by the Scalene Triangle.
Semiperimeter of Scalene Triangle - (Measured in Meter) - Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given 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

Semiperimeter of Scalene Triangle: 22 Meter --> 22 Meter No Conversion Required
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

A = sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter)) --> sqrt(22*(22-20)*(22-14)*(22-10))

Evaluating ... ...

A = 64.9923072370877

STEP 3: Convert Result to Output's Unit

64.9923072370877 Square Meter --> No Conversion Required

FINAL ANSWER

64.9923072370877 ≈ 64.99231 Square Meter <-- Area of Scalene Triangle

(Calculation completed in 00.008 seconds)

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< Area of Scalene Triangle Calculators

Area of Scalene Triangle

LaTeX Go Area of Scalene Triangle = (sqrt((Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)*(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle-Longer Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Shorter Side of Scalene Triangle-Medium Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Medium Side of Scalene Triangle-Shorter Side of Scalene Triangle)))/4

Area of Scalene Triangle by Heron's Formula

LaTeX Go Area of Scalene Triangle = sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle))

Area of Scalene Triangle given Larger Angle and Adjacent Sides

LaTeX Go Area of Scalene Triangle = (Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle))/2

Area of Scalene Triangle given Longer Side and Height on Longer Side

LaTeX Go Area of Scalene Triangle = (Longer Side of Scalene Triangle*Height on Longer Side of Scalene Triangle)/2

Area of Scalene Triangle by Heron's Formula 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 Area of Scalene Triangle by Heron's Formula?

Area of Scalene Triangle by Heron's Formula calculator uses Area of Scalene Triangle = sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle)) to calculate the Area of Scalene Triangle, The Area of Scalene Triangle by Heron's formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using Heron's formula. Area of Scalene Triangle is denoted by A symbol.

How to calculate Area of Scalene Triangle by Heron's Formula using this online calculator? To use this online calculator for Area of Scalene Triangle by Heron's Formula, enter Semiperimeter of Scalene Triangle (s), 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 Area of Scalene Triangle by Heron's Formula calculation can be explained with given input values -> 64.99231 = sqrt(22*(22-20)*(22-14)*(22-10)).

FAQ

What is Area of Scalene Triangle by Heron's Formula?

The Area of Scalene Triangle by Heron's formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using Heron's formula and is represented as A = sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter)) or Area of Scalene Triangle = sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle)). Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given 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 Area of Scalene Triangle by Heron's Formula?

The Area of Scalene Triangle by Heron's formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using Heron's formula is calculated using Area of Scalene Triangle = sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle)). To calculate Area of Scalene Triangle by Heron's Formula, you need Semiperimeter of Scalene Triangle (s), 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 Semiperimeter of Scalene Triangle, 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 Area of Scalene Triangle?

In this formula, Area of Scalene Triangle uses Semiperimeter of Scalene Triangle, 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 -

Area of Scalene Triangle = (sqrt((Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)*(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle-Longer Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Shorter Side of Scalene Triangle-Medium Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Medium Side of Scalene Triangle-Shorter Side of Scalene Triangle)))/4
Area of Scalene Triangle = (Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle))/2
Area of Scalene Triangle = (Longer Side of Scalene Triangle*Height on Longer Side of Scalene Triangle)/2

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