Area 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 Area of Scalene Triangle is the total amount of space or region occupied by the Scalene Triangle.ⓘ Area of Scalene Triangle given Smaller Angle and Adjacent Sides [A]

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Area of Scalene Triangle given Smaller Angle and Adjacent Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle))/2
A = (S_Longer*S_Medium*sin(∠_Smaller))/2
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
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

A = (S_Longer*S_Medium*sin(∠_Smaller))/2 --> (20*14*sin(0.5235987755982))/2

Evaluating ... ...

A = 70

STEP 3: Convert Result to Output's Unit

70 Square Meter --> No Conversion Required

FINAL ANSWER

70 Square Meter <-- Area of Scalene Triangle

(Calculation completed in 00.004 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 Calculators

Area of Scalene Triangle

Area of Scalene Triangle given Smaller Angle and Adjacent Sides

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

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 Medium Angle and Adjacent Sides

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

Area of Scalene Triangle given Smaller Angle and Adjacent Sides Formula

LaTeX Go

Area of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle))/2
A = (S_Longer*S_Medium*sin(∠_Smaller))/2

What is a Scalene Triangle ?

A triangle with all sides 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 given Smaller Angle and Adjacent Sides?

Area of Scalene Triangle given Smaller Angle and Adjacent Sides calculator uses Area of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle))/2 to calculate the Area of Scalene Triangle, The Area of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using the smaller angle and adjacent sides - longer side and medium side. Area of Scalene Triangle is denoted by A symbol.

How to calculate Area of Scalene Triangle given Smaller Angle and Adjacent Sides using this online calculator? To use this online calculator for Area 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 Area of Scalene Triangle given Smaller Angle and Adjacent Sides calculation can be explained with given input values -> 70 = (20*14*sin(0.5235987755982))/2.

FAQ

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

The Area of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using the smaller angle and adjacent sides - longer side and medium side and is represented as A = (S_Longer*S_Medium*sin(∠_Smaller))/2 or Area of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle))/2. 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 Area of Scalene Triangle given Smaller Angle and Adjacent Sides?

The Area of Scalene Triangle given Smaller Angle and Adjacent Sides formula is defined as the total amount of space or region occupied by the Scalene Triangle, calculated using the smaller angle and adjacent sides - longer side and medium side is calculated using Area of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle))/2. To calculate Area 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 Area of Scalene Triangle?

In this formula, Area 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 -

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

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