Long Leg of Trapezoid given Height Calculator

✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+10% -10%
✖Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.ⓘ Smaller Acute Angle of Trapezoid [∠_{Smaller Acute}]			+10% -10%

✖Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Long Leg of Trapezoid given Height [L_Long]

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Formula

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Long Leg of Trapezoid given Height

Formula

`"L"_{"Long"} = "h"/(sin("∠"_{"Smaller Acute"}))`

Example

`"10.44326m"="8m"/(sin("50°"))`

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Long Leg of Trapezoid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))
L_Long = h/(sin(∠_{Smaller Acute}))
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

Long Leg of Trapezoid - (Measured in Meter) - Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.
Height of Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.
Smaller Acute Angle of Trapezoid - (Measured in Radian) - Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required
Smaller Acute Angle of Trapezoid: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Long = h/(sin(∠_{Smaller Acute})) --> 8/(sin(0.872664625997001))

Evaluating ... ...

L_Long = 10.4432583146597

STEP 3: Convert Result to Output's Unit

10.4432583146597 Meter --> No Conversion Required

FINAL ANSWER

10.4432583146597 ≈ 10.44326 Meter <-- Long Leg of Trapezoid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Trapezoid » Sides of Trapezoid » Long Leg of Trapezoid » Long Leg of Trapezoid given Height

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Technology (IIT), Mumbai

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< 3 Long Leg of Trapezoid Calculators

Long Leg of Trapezoid given Short Leg

Go Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))

Long Leg of Trapezoid

Go Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)

Long Leg of Trapezoid given Height

Go Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))

< 12 Sides of Trapezoid Calculators

Short Base of Trapezoid given Short Leg

Go Short Base of Trapezoid = Long Base of Trapezoid-(Short Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)))

Long Base of Trapezoid given Short Leg

Go Long Base of Trapezoid = Short Base of Trapezoid+(Short Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)))

Short Base of Trapezoid given Long Leg

Go Short Base of Trapezoid = Long Base of Trapezoid-(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))

Long Base of Trapezoid given Long Leg

Go Long Base of Trapezoid = Short Base of Trapezoid+(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))

Long Leg of Trapezoid given Short Leg

Go Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))

Short Leg of Trapezoid given Long Leg

Go Short Leg of Trapezoid = Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid))

Short Leg of Trapezoid

Go Short Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Long Leg of Trapezoid)

Long Leg of Trapezoid

Go Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)

Short Base of Trapezoid

Go Short Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Long Base of Trapezoid

Long Base of Trapezoid

Go Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid

Short Leg of Trapezoid given Height

Go Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger Acute Angle of Trapezoid))

Long Leg of Trapezoid given Height

Go Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))

Long Leg of Trapezoid given Height Formula

Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))
L_Long = h/(sin(∠_{Smaller Acute}))

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Long Leg of Trapezoid given Height?

Long Leg of Trapezoid given Height calculator uses Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid)) to calculate the Long Leg of Trapezoid, Long Leg of Trapezoid given Height formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the height of the Trapezoid. Long Leg of Trapezoid is denoted by L_Long symbol.

How to calculate Long Leg of Trapezoid given Height using this online calculator? To use this online calculator for Long Leg of Trapezoid given Height, enter Height of Trapezoid (h) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) and hit the calculate button. Here is how the Long Leg of Trapezoid given Height calculation can be explained with given input values -> 10.44326 = 8/(sin(0.872664625997001)).

FAQ

What is Long Leg of Trapezoid given Height?

Long Leg of Trapezoid given Height formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the height of the Trapezoid and is represented as L_Long = h/(sin(∠_{Smaller Acute})) or Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid)). Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid & Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

How to calculate Long Leg of Trapezoid given Height?

Long Leg of Trapezoid given Height formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the height of the Trapezoid is calculated using Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid)). To calculate Long Leg of Trapezoid given Height, you need Height of Trapezoid (h) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}). With our tool, you need to enter the respective value for Height of Trapezoid & Smaller Acute Angle of Trapezoid 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 Long Leg of Trapezoid?

In this formula, Long Leg of Trapezoid uses Height of Trapezoid & Smaller Acute Angle of Trapezoid. We can use 4 other way(s) to calculate the same, which is/are as follows -

Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))
Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))

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