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

GoHeight on Longer Side of Scalene Triangle given Medium Side and Smaller Angle Formula

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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. Check FAQs

h Longer = S Shorter \cdot \sin (∠ Medium)

h_Longer - Height on Longer Side of Scalene Triangle?S_Shorter - Shorter Side of Scalene Triangle?∠_Medium - Medium Angle of Scalene Triangle?

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

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Here is how the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle equation looks like with Values.

Here is how the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle equation looks like with Units.

Here is how the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle equation looks like.

6.4279 = 10 \cdot \sin (40)

6.4279m = 10m \cdot \sin (40°)

6.4279 = 10 \cdot \sin (40)

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

Follow our step by step solution on how to calculate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle?

FIRST Step Consider the formula

h Longer = S Shorter \cdot \sin (∠ Medium)

Next Step Substitute values of Variables

∴

h Longer = 10m \cdot \sin (40°)

Next Step Convert Units

∴

h Longer = 10m \cdot \sin (0.6981rad)

Next Step Prepare to Evaluate

∴

h Longer = 10 \cdot \sin (0.6981)

Next Step Evaluate

∴

h Longer = 6.42787609686439m

LAST Step Rounding Answer

∴

h Longer = 6.4279m

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

Variables

Functions

Height on Longer Side of Scalene Triangle

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.

Symbol: h_Longer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height on Longer Side of Scalene Triangle

Shorter Side 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.

Symbol: S_Shorter

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shorter Side of Scalene Triangle

Medium Angle of Scalene Triangle

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.

Symbol: ∠_Medium

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Medium Angle of Scalene Triangle

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.

Syntax: sin(Angle)

Other Formulas to find Height on Longer Side of Scalene Triangle

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

h Longer = S Medium \cdot \sin (∠ Smaller)

Other formulas in Heights of Scalene Triangle category

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

h Medium = S Longer \cdot \sin (∠ Smaller)

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

h Medium = S Shorter \cdot \sin (∠ Larger)

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

h Shorter = S Longer \cdot \sin (∠ Medium)

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

h Shorter = S Medium \cdot \sin (∠ Larger)

How to Evaluate 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 evaluator uses Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle) to evaluate 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 evaluate Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle?

The formula of Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle is expressed as Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle). Here is an example- 6.427876 = 10*sin(0.698131700797601).

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

With Shorter Side of Scalene Triangle (S_Shorter) & Medium Angle of Scalene Triangle (∠_Medium) we can find Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle using the formula - Height on Longer Side of Scalene Triangle = Shorter Side of Scalene Triangle*sin(Medium Angle of Scalene Triangle). This formula also uses Sine function(s).

What are the other ways to Calculate Height on Longer Side of Scalene Triangle?

Here are the different ways to Calculate Height on Longer Side of Scalene Triangle-

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

Can the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle be negative?

No, the Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height on Longer Side of Scalene Triangle given Shorter Side and Medium Angle can be measured.

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