Long Leg of Trapezoid Calculator

✖Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.ⓘ Perimeter of Trapezoid [P]			+10% -10%
✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid [B_Long]			+10% -10%
✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%
✖Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Short Leg of Trapezoid [L_Short]			+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 [L_Long]

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Long Leg of Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
L_Long = P-(B_Long+B_Short+L_Short)
This formula uses 5 Variables

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.
Perimeter of Trapezoid - (Measured in Meter) - Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
Short Leg of Trapezoid - (Measured in Meter) - Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Trapezoid: 40 Meter --> 40 Meter No Conversion Required
Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Short Leg of Trapezoid: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Long = P-(B_Long+B_Short+L_Short) --> 40-(15+5+9)

Evaluating ... ...

L_Long = 11

STEP 3: Convert Result to Output's Unit

11 Meter --> No Conversion Required

FINAL ANSWER

11 Meter <-- Long Leg of Trapezoid

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< Long Leg of Trapezoid Calculators

Long Leg of Trapezoid given Short Leg

LaTeX 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

LaTeX 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

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

< Sides of Trapezoid Calculators

Long Base of Trapezoid given Short Leg

LaTeX 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)))

Long Base of Trapezoid given Long Leg

LaTeX 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

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

Long Base of Trapezoid

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

Long Leg of Trapezoid Formula

LaTeX Go

Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
L_Long = P-(B_Long+B_Short+L_Short)

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?

Long Leg of Trapezoid calculator uses Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid) to calculate the Long Leg of Trapezoid, Long Leg of Trapezoid formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the perimeter and remaining sides of the Trapezoid. Long Leg of Trapezoid is denoted by L_Long symbol.

How to calculate Long Leg of Trapezoid using this online calculator? To use this online calculator for Long Leg of Trapezoid, enter Perimeter of Trapezoid (P), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Short Leg of Trapezoid (L_Short) and hit the calculate button. Here is how the Long Leg of Trapezoid calculation can be explained with given input values -> 11 = 40-(15+5+9).

FAQ

What is Long Leg of Trapezoid?

Long Leg of Trapezoid formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the perimeter and remaining sides of the Trapezoid and is represented as L_Long = P-(B_Long+B_Short+L_Short) or Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid). Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid, Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid, Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid & Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

How to calculate Long Leg of Trapezoid?

Long Leg of Trapezoid formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the perimeter and remaining sides of the Trapezoid is calculated using Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid). To calculate Long Leg of Trapezoid, you need Perimeter of Trapezoid (P), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Short Leg of Trapezoid (L_Short). With our tool, you need to enter the respective value for Perimeter of Trapezoid, Long Base of Trapezoid, Short Base of Trapezoid & Short Leg 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 Perimeter of Trapezoid, Long Base of Trapezoid, Short Base of Trapezoid & Short Leg of Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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