Acute Angle of Tri-equilateral Trapezoid Calculator

✖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.ⓘ Unequal Edge of Tri-equilateral Trapezoid [l_e(Unequal)]			+10% -10%
✖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.ⓘ Equal Edge of Tri-equilateral Trapezoid [l_e(Equal)]			+10% -10%
✖Height of Tri-equilateral Trapezoid is the perpendicular distance between the parallel edges of the Tri-equilateral Trapezoid.ⓘ Height of Tri-equilateral Trapezoid [h]			+10% -10%

✖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.ⓘ Acute Angle of Tri-equilateral Trapezoid [∠_Acute]

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Formula

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Acute Angle of Tri-equilateral Trapezoid

Formula

`"∠"_{"Acute"} = arccos(((abs("l"_{"e(Unequal)"}-"l"_{"e(Equal)"})/2)^2+"l"_{"e(Equal)"}^2-"h"^2)/(2*(abs("l"_{"e(Unequal)"}-"l"_{"e(Equal)"})/2)*"l"_{"e(Equal)"}))`

Example

`"52.6168°"=arccos(((abs("12m"-"5m")/2)^2+("5m")^2-("4m")^2)/(2*(abs("12m"-"5m")/2)*"5m"))`

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Acute Angle of Tri-equilateral Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∠_Acute = arccos(((abs(l_e(Unequal)-l_e(Equal))/2)^2+l_e(Equal)^2-h^2)/(2*(abs(l_e(Unequal)-l_e(Equal))/2)*l_e(Equal)))
This formula uses 3 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., abs(Number)

Variables Used

Acute Angle of Tri-equilateral Trapezoid - (Measured in Radian) - 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.
Unequal Edge of Tri-equilateral Trapezoid - (Measured in Meter) - 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.
Equal Edge of Tri-equilateral Trapezoid - (Measured in Meter) - 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.
Height of Tri-equilateral Trapezoid - (Measured in Meter) - Height of Tri-equilateral Trapezoid is the perpendicular distance between the parallel edges of the Tri-equilateral Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Unequal Edge of Tri-equilateral Trapezoid: 12 Meter --> 12 Meter No Conversion Required
Equal Edge of Tri-equilateral Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Height of Tri-equilateral Trapezoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Acute = arccos(((abs(l_e(Unequal)-l_e(Equal))/2)^2+l_e(Equal)^2-h^2)/(2*(abs(l_e(Unequal)-l_e(Equal))/2)*l_e(Equal))) --> arccos(((abs(12-5)/2)^2+5^2-4^2)/(2*(abs(12-5)/2)*5))

Evaluating ... ...

∠_Acute = 0.918336429476819

STEP 3: Convert Result to Output's Unit

0.918336429476819 Radian -->52.616801582145 Degree (Check conversion here)

FINAL ANSWER

52.616801582145 ≈ 52.6168 Degree <-- Acute Angle of Tri-equilateral Trapezoid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Tri-equilateral Trapezoid » Angles of Tri-equilateral Trapezoid » Acute Angle of Tri-equilateral Trapezoid

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St Joseph's College (SJC), Bengaluru

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< 2 Angles of Tri-equilateral Trapezoid Calculators

Acute Angle of Tri-equilateral Trapezoid

Go 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))

Obtuse Angle of Tri-equilateral Trapezoid

Go Obtuse Angle of Tri-equilateral Trapezoid = pi-Acute Angle of Tri-equilateral Trapezoid

Acute Angle of Tri-equilateral Trapezoid Formula

What is a Tri-equilateral Trapezoid?

A Tri-equilateral Trapezoid is a quadrilateral having a pair of parallel sides which are opposite to each other and the remaining two non parallel sides and one of the parallel sides are equal in length. In short, it is an Equilateral Trapezoid in which one of the parallel sides is equal to the non parallel sides.

How to Calculate Acute Angle of Tri-equilateral Trapezoid?

Acute Angle of Tri-equilateral Trapezoid calculator 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 calculate 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 calculate Acute Angle of Tri-equilateral Trapezoid using this online calculator? To use this online calculator 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. Here is how the Acute Angle of Tri-equilateral Trapezoid calculation can be explained with given input values -> 3014.721 = arccos(((abs(12-5)/2)^2+5^2-4^2)/(2*(abs(12-5)/2)*5)).

FAQ

What is 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 and is represented as ∠_Acute = arccos(((abs(l_e(Unequal)-l_e(Equal))/2)^2+l_e(Equal)^2-h^2)/(2*(abs(l_e(Unequal)-l_e(Equal))/2)*l_e(Equal))) or 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)). 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, 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 & Height of Tri-equilateral Trapezoid is the perpendicular distance between the parallel edges of the Tri-equilateral Trapezoid.

How to calculate 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 is calculated using 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 calculate Acute Angle of Tri-equilateral Trapezoid, you need Unequal Edge of Tri-equilateral Trapezoid (l_e(Unequal)), Equal Edge of Tri-equilateral Trapezoid (l_e(Equal)) & Height of Tri-equilateral Trapezoid (h). With our tool, you need to enter the respective value for Unequal Edge of Tri-equilateral Trapezoid, Equal Edge of Tri-equilateral Trapezoid & Height of Tri-equilateral Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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