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Acute Angle of Tri-equilateral Trapezoid Formula

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Acute Angle of Tri-equilateral Trapezoid is any of the angles on the longer base or the longer edge among the parallel edges of the Tri-equilateral Trapezoid. Check FAQs

∠ Acute = \arccos (\frac{{(\frac{| l e(Unequal) - l e(Equal) |}{2})}^{2} + {l e(Equal)}^{2} - h^{2}}{2 \cdot (\frac{| l e(Unequal) - l e(Equal) |}{2}) \cdot l e(Equal)})

∠_Acute - Acute Angle of Tri-equilateral Trapezoid?l_e(Unequal) - Unequal Edge of Tri-equilateral Trapezoid?l_e(Equal) - Equal Edge of Tri-equilateral Trapezoid?h - Height of Tri-equilateral Trapezoid?

Acute Angle of Tri-equilateral Trapezoid Example

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Here is how the Acute Angle of Tri-equilateral Trapezoid equation looks like with Values.

Here is how the Acute Angle of Tri-equilateral Trapezoid equation looks like with Units.

Here is how the Acute Angle of Tri-equilateral Trapezoid equation looks like.

52.6168 = \arccos (\frac{{(\frac{| 12 - 5 |}{2})}^{2} + 5^{2} - 4^{2}}{2 \cdot (\frac{| 12 - 5 |}{2}) \cdot 5})

52.6168° = \arccos (\frac{{(\frac{| 12m - 5m |}{2})}^{2} + {5m}^{2} - {4m}^{2}}{2 \cdot (\frac{| 12m - 5m |}{2}) \cdot 5m})

52.6168 = \arccos (\frac{{(\frac{| 12 - 5 |}{2})}^{2} + 5^{2} - 4^{2}}{2 \cdot (\frac{| 12 - 5 |}{2}) \cdot 5})

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Acute Angle of Tri-equilateral Trapezoid Solution

Follow our step by step solution on how to calculate Acute Angle of Tri-equilateral Trapezoid?

FIRST Step Consider the formula

∠ Acute = \arccos (\frac{{(\frac{| l e(Unequal) - l e(Equal) |}{2})}^{2} + {l e(Equal)}^{2} - h^{2}}{2 \cdot (\frac{| l e(Unequal) - l e(Equal) |}{2}) \cdot l e(Equal)})

Next Step Substitute values of Variables

∴

∠ Acute = \arccos (\frac{{(\frac{| 12m - 5m |}{2})}^{2} + {5m}^{2} - {4m}^{2}}{2 \cdot (\frac{| 12m - 5m |}{2}) \cdot 5m})

Next Step Prepare to Evaluate

∴

∠ Acute = \arccos (\frac{{(\frac{| 12 - 5 |}{2})}^{2} + 5^{2} - 4^{2}}{2 \cdot (\frac{| 12 - 5 |}{2}) \cdot 5})

Next Step Evaluate

∴

∠ Acute = 0.918336429476819rad

Next Step Convert to Output's Unit

∴

∠ Acute = 52.616801582145°

LAST Step Rounding Answer

∴

∠ Acute = 52.6168°

Acute Angle of Tri-equilateral Trapezoid Formula Elements

Variables

Functions

Acute Angle of Tri-equilateral Trapezoid

Acute Angle of Tri-equilateral Trapezoid is any of the angles on the longer base or the longer edge among the parallel edges of the Tri-equilateral Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Tri-equilateral Trapezoid

Unequal Edge of Tri-equilateral Trapezoid

Unequal Edge of Tri-equilateral Trapezoid is one of the parallel edges of Tri-equilateral Trapezoid which is not equal to the remaining three edges.

Symbol: l_e(Unequal)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Unequal Edge of Tri-equilateral Trapezoid

Equal Edge of Tri-equilateral Trapezoid

Equal Edge of Tri-equilateral Trapezoid is one of the parallel edges and any of the non parallel legs of Tri-equilateral Trapezoid which are equal in length.

Symbol: l_e(Equal)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Equal Edge of Tri-equilateral Trapezoid

Height of Tri-equilateral Trapezoid

Height of Tri-equilateral Trapezoid is the perpendicular distance between the parallel edges of the Tri-equilateral Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Tri-equilateral Trapezoid

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

arccos

Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: arccos(Number)

abs

The absolute value of a number is its distance from zero on the number line. It's always a positive value, as it represents the magnitude of a number without considering its direction.

Syntax: abs(Number)

Other formulas in Angles of Tri Equilateral Trapezoid category

Go Obtuse Angle of Tri-equilateral Trapezoid

∠ Obtuse = π - ∠ Acute

How to Evaluate Acute Angle of Tri-equilateral Trapezoid?

Acute Angle of Tri-equilateral Trapezoid evaluator uses Acute Angle of Tri-equilateral Trapezoid = arccos(((abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)^2+Equal Edge of Tri-equilateral Trapezoid^2-Height of Tri-equilateral Trapezoid^2)/(2*(abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)*Equal Edge of Tri-equilateral Trapezoid)) to evaluate the Acute Angle of Tri-equilateral Trapezoid, Acute Angle of Tri-equilateral Trapezoid formula is defined as any of the angles on the longer base or the longer edge among the parallel edges of the Tri-equilateral Trapezoid. Acute Angle of Tri-equilateral Trapezoid is denoted by ∠_Acute symbol.

How to evaluate Acute Angle of Tri-equilateral Trapezoid using this online evaluator? To use this online evaluator for Acute Angle of Tri-equilateral Trapezoid, enter Unequal Edge of Tri-equilateral Trapezoid (l_e(Unequal)), Equal Edge of Tri-equilateral Trapezoid (l_e(Equal)) & Height of Tri-equilateral Trapezoid (h) and hit the calculate button.

FAQs on Acute Angle of Tri-equilateral Trapezoid

What is the formula to find Acute Angle of Tri-equilateral Trapezoid?

The formula of Acute Angle of Tri-equilateral Trapezoid is expressed as Acute Angle of Tri-equilateral Trapezoid = arccos(((abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)^2+Equal Edge of Tri-equilateral Trapezoid^2-Height of Tri-equilateral Trapezoid^2)/(2*(abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)*Equal Edge of Tri-equilateral Trapezoid)). Here is an example- 3014.721 = arccos(((abs(12-5)/2)^2+5^2-4^2)/(2*(abs(12-5)/2)*5)).

How to calculate Acute Angle of Tri-equilateral Trapezoid?

With Unequal Edge of Tri-equilateral Trapezoid (l_e(Unequal)), Equal Edge of Tri-equilateral Trapezoid (l_e(Equal)) & Height of Tri-equilateral Trapezoid (h) we can find Acute Angle of Tri-equilateral Trapezoid using the formula - Acute Angle of Tri-equilateral Trapezoid = arccos(((abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)^2+Equal Edge of Tri-equilateral Trapezoid^2-Height of Tri-equilateral Trapezoid^2)/(2*(abs(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)/2)*Equal Edge of Tri-equilateral Trapezoid)). This formula also uses Cosine (cos)Inverse Cosine (arccos), Absolute (abs) function(s).

Can the Acute Angle of Tri-equilateral Trapezoid be negative?

No, the Acute Angle of Tri-equilateral Trapezoid, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle of Tri-equilateral Trapezoid?

Acute Angle of Tri-equilateral Trapezoid is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Acute Angle of Tri-equilateral Trapezoid can be measured.

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Acute Angle of Tri-equilateral Trapezoid Formula

Acute Angle of Tri-equilateral Trapezoid Example

Acute Angle of Tri-equilateral Trapezoid Solution

Acute Angle of Tri-equilateral Trapezoid Formula Elements

Other formulas in Angles of Tri Equilateral Trapezoid category

How to Evaluate Acute Angle of Tri-equilateral Trapezoid?

FAQs on Acute Angle of Tri-equilateral Trapezoid

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