Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle Calculator

✖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 Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle.ⓘ Medium Angle of Scalene Triangle [∠_Medium]			+10% -10%

✖The Height on Longer Side of Scalene Triangle is the length of the perpendicular from the longer side of the Scalene Triangle to the opposite vertex.ⓘ Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle [h_Longer]

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Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)
h_Longer = S_Shorter*sin(∠_Medium)
This formula uses 1 Functions, 3 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

Height on Longer Side of Scalene Triangle - (Measured in Meter) - The Height on Longer Side of Scalene Triangle is the length of the perpendicular from the longer side of the Scalene Triangle to the opposite vertex.
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.
Medium Angle of Scalene Triangle - (Measured in Radian) - The Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle.

STEP 1: Convert Input(s) to Base Unit

Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Medium Angle of Scalene Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Longer = S_Shorter*sin(∠_Medium) --> 10*sin(0.698131700797601)

Evaluating ... ...

h_Longer = 6.42787609686439

STEP 3: Convert Result to Output's Unit

6.42787609686439 Meter --> No Conversion Required

FINAL ANSWER

6.42787609686439 ≈ 6.427876 Meter <-- Height on Longer Side of Scalene Triangle

(Calculation completed in 00.004 seconds)

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IIT Madras (IIT Madras), Chennai

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< Heights of Scalene Triangle Calculators

Height on Longer Side of Scalene Triangle given Medium Side and Smaller Angle

LaTeX Go Height on Longer Side of Scalene Triangle = Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle)

Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle

LaTeX Go Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)

Height on Medium Side of Scalene Triangle given Longer Side and Smaller Angle

LaTeX Go Height on Medium Side of Scalene Triangle = Longer Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle)

Height on Medium Side of Scalene Triangle given Shorter Side and Larger Angle

LaTeX Go Height on Medium Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Larger Angle of Scalene Triangle)

Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle Formula

LaTeX Go

Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle)
h_Longer = S_Shorter*sin(∠_Medium)

Height of a Scalene Triangle and it's importance

The perpendicular distance between a particular side (or the line containing that side) of the Scalene Triangle, and the corner of the triangle just opposite to that side is called the height of the Scalene Triangle from that side. If we take a particular side and know the height from that side, then the area of the Scalene Triangle is half of their product.

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.

How to Calculate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle?

Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle calculator uses Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle) to calculate the Height on Longer Side of Scalene Triangle, Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle formula is defined as the perpendicular distance from the larger angle corner to the longer side of the Scalene Triangle, calculated using its shorter side and medium angle. Height on Longer Side of Scalene Triangle is denoted by h_Longer symbol.

How to calculate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle using this online calculator? To use this online calculator for Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle, enter Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium) and hit the calculate button. Here is how the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle calculation can be explained with given input values -> 6.427876 = 10*sin(0.698131700797601).

FAQ

What is Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle?

Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle formula is defined as the perpendicular distance from the larger angle corner to the longer side of the Scalene Triangle, calculated using its shorter side and medium angle and is represented as h_Longer = S_Shorter*sin(∠_Medium) or Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle). 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 Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle.

How to calculate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle?

Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle formula is defined as the perpendicular distance from the larger angle corner to the longer side of the Scalene Triangle, calculated using its shorter side and medium angle is calculated using Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle). To calculate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle, you need Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium). With our tool, you need to enter the respective value for Shorter Side of Scalene Triangle & Medium 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 Height on Longer Side of Scalene Triangle?

In this formula, Height on Longer Side of Scalene Triangle uses Shorter Side of Scalene Triangle & Medium Angle of Scalene Triangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height on Longer Side of Scalene Triangle = Medium Side of Scalene Triangle*sin(Smaller Angle of Scalene Triangle)

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