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Hypotenuse of Right Angle Triangle given Sin Alpha Formula

GoHypotenuse of Right Angle Triangle given Cos Alpha Formula

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The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees). Check FAQs

S Hypotenuse = \frac{S Opposite}{\sin (α)}

S_Hypotenuse - Hypotenuse Side?S_Opposite - Opposite Side of Angle Alpha?α - Angle Alpha of Trigonometry?

Hypotenuse of Right Angle Triangle given Sin Alpha Example

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Here is how the Hypotenuse of Right Angle Triangle given Sin Alpha equation looks like with Values.

Here is how the Hypotenuse of Right Angle Triangle given Sin Alpha equation looks like with Units.

Here is how the Hypotenuse of Right Angle Triangle given Sin Alpha equation looks like.

5.0085 = \frac{4}{\sin (53)}

5.0085m = \frac{4m}{\sin (53°)}

5.0085 = \frac{4}{\sin (53)}

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Hypotenuse of Right Angle Triangle given Sin Alpha Solution

Follow our step by step solution on how to calculate Hypotenuse of Right Angle Triangle given Sin Alpha?

FIRST Step Consider the formula

S Hypotenuse = \frac{S Opposite}{\sin (α)}

Next Step Substitute values of Variables

∴

S Hypotenuse = \frac{4m}{\sin (53°)}

Next Step Convert Units

∴

S Hypotenuse = \frac{4m}{\sin (0.925rad)}

Next Step Prepare to Evaluate

∴

S Hypotenuse = \frac{4}{\sin (0.925)}

Next Step Evaluate

∴

S Hypotenuse = 5.00854263262556m

LAST Step Rounding Answer

∴

S Hypotenuse = 5.0085m

Hypotenuse of Right Angle Triangle given Sin Alpha Formula Elements

Variables

Functions

Hypotenuse Side

The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees).

Symbol: S_Hypotenuse

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hypotenuse Side

Opposite Side of Angle Alpha

Opposite Side of Angle Alpha is the length of the non-hypotenuse edge of a right triangle which is opposite to the given non-right angle α.

Symbol: S_Opposite

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Opposite Side of Angle Alpha

Angle Alpha of Trigonometry

Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle Alpha of Trigonometry

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 Hypotenuse Side

Go Hypotenuse of Right Angle Triangle given Cos Alpha

S Hypotenuse = \frac{S Adjacent}{\cos (α)}

Other formulas in Trigonometry Ratios category

Go Tan Alpha

tan α = \frac{S Opposite}{S Adjacent}

Go Cot Alpha

cot α = \frac{S Adjacent}{S Opposite}

Go Sin Alpha

sin α = \frac{S Opposite}{S Hypotenuse}

Go Cos Alpha

cos α = \frac{S Adjacent}{S Hypotenuse}

How to Evaluate Hypotenuse of Right Angle Triangle given Sin Alpha?

Hypotenuse of Right Angle Triangle given Sin Alpha evaluator uses Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry) to evaluate the Hypotenuse Side, The Hypotenuse of Right Angle Triangle given Sin Alpha formula is defined as the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees), and calculated using the value of trigonometric sine function of angle alpha of Trigonometry. Hypotenuse Side is denoted by S_Hypotenuse symbol.

How to evaluate Hypotenuse of Right Angle Triangle given Sin Alpha using this online evaluator? To use this online evaluator for Hypotenuse of Right Angle Triangle given Sin Alpha, enter Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α) and hit the calculate button.

FAQs on Hypotenuse of Right Angle Triangle given Sin Alpha

What is the formula to find Hypotenuse of Right Angle Triangle given Sin Alpha?

The formula of Hypotenuse of Right Angle Triangle given Sin Alpha is expressed as Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry). Here is an example- 5.008543 = 4/sin(0.925024503556821).

How to calculate Hypotenuse of Right Angle Triangle given Sin Alpha?

With Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α) we can find Hypotenuse of Right Angle Triangle given Sin Alpha using the formula - Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Hypotenuse Side?

Here are the different ways to Calculate Hypotenuse Side-

Hypotenuse Side=Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry)

Can the Hypotenuse of Right Angle Triangle given Sin Alpha be negative?

No, the Hypotenuse of Right Angle Triangle given Sin Alpha, measured in Length cannot be negative.

Which unit is used to measure Hypotenuse of Right Angle Triangle given Sin Alpha?

Hypotenuse of Right Angle Triangle given Sin Alpha is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hypotenuse of Right Angle Triangle given Sin Alpha can be measured.

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