Long Leg of Trapezoid given Short Leg Calculator

✖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%
✖Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid.ⓘ Larger Acute Angle of Trapezoid [∠_{Larger Acute}]			+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 Short Leg [L_Long]

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Long Leg of Trapezoid given Short Leg Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))
L_Long = L_Short*(sin(∠_{Larger Acute}))/(sin(∠_{Smaller Acute}))
This formula uses 1 Functions, 4 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.
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.
Larger Acute Angle of Trapezoid - (Measured in Radian) - Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg 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

Short Leg of Trapezoid: 9 Meter --> 9 Meter No Conversion Required
Larger Acute Angle of Trapezoid: 70 Degree --> 1.2217304763958 Radian (Check conversion here)
Smaller Acute Angle of Trapezoid: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Long = L_Short*(sin(∠_{Larger Acute}))/(sin(∠_{Smaller Acute})) --> 9*(sin(1.2217304763958))/(sin(0.872664625997001))

Evaluating ... ...

L_Long = 11.0401343721517

STEP 3: Convert Result to Output's Unit

11.0401343721517 Meter --> No Conversion Required

FINAL ANSWER

11.0401343721517 ≈ 11.04013 Meter <-- Long Leg of Trapezoid

(Calculation completed in 00.008 seconds)

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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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< 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 given Short Leg Formula

LaTeX Go

Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))
L_Long = L_Short*(sin(∠_{Larger Acute}))/(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 Short Leg?

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

How to calculate Long Leg of Trapezoid given Short Leg using this online calculator? To use this online calculator for Long Leg of Trapezoid given Short Leg, enter Short Leg of Trapezoid (L_Short), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) and hit the calculate button. Here is how the Long Leg of Trapezoid given Short Leg calculation can be explained with given input values -> 11.04013 = 9*(sin(1.2217304763958))/(sin(0.872664625997001)).

FAQ

What is Long Leg of Trapezoid given Short Leg?

Long Leg of Trapezoid given Short Leg formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the short leg of the Trapezoid and is represented as L_Long = L_Short*(sin(∠_{Larger Acute}))/(sin(∠_{Smaller Acute})) or Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)). Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid, Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg 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 Short Leg?

Long Leg of Trapezoid given Short Leg formula is defined as the longer side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using the short leg of the Trapezoid is calculated using Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)). To calculate Long Leg of Trapezoid given Short Leg, you need Short Leg of Trapezoid (L_Short), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}). With our tool, you need to enter the respective value for Short Leg of Trapezoid, Larger Acute Angle 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 Short Leg of Trapezoid, Larger Acute Angle of Trapezoid & Smaller Acute Angle of Trapezoid. We can use 3 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 = Height 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)

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