Short Leg of Trapezoid given Long Leg Calculator

✖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]			+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%
✖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%

✖Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Short Leg of Trapezoid given Long Leg [L_Short]

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Short Leg of Trapezoid given Long Leg Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Long Leg of Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Smaller Acute Angle of Trapezoid: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
Larger Acute Angle of Trapezoid: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Short = L_Long*(sin(∠_{Smaller Acute}))/(sin(∠_{Larger Acute})) --> 11*(sin(0.872664625997001))/(sin(1.2217304763958))

Evaluating ... ...

L_Short = 8.96728216005447

STEP 3: Convert Result to Output's Unit

8.96728216005447 Meter --> No Conversion Required

FINAL ANSWER

8.96728216005447 ≈ 8.967282 Meter <-- Short Leg of Trapezoid

(Calculation completed in 00.004 seconds)

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

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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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< Short Leg of Trapezoid Calculators

Short Leg of Trapezoid given Long Leg

LaTeX 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

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

Short Leg of Trapezoid given Height

LaTeX Go Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger 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

Short Leg of Trapezoid given Long Leg Formula

LaTeX Go

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

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

How to calculate Short Leg of Trapezoid given Long Leg using this online calculator? To use this online calculator for Short Leg of Trapezoid given Long Leg, enter Long Leg of Trapezoid (L_Long), Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) and hit the calculate button. Here is how the Short Leg of Trapezoid given Long Leg calculation can be explained with given input values -> 8.967282 = 11*(sin(0.872664625997001))/(sin(1.2217304763958)).

FAQ

What is Short Leg of Trapezoid given Long Leg?

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

How to calculate Short Leg of Trapezoid given Long Leg?

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

In this formula, Short Leg of Trapezoid uses Long Leg of Trapezoid, Smaller Acute Angle of Trapezoid & Larger Acute Angle of Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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