Short Base of Trapezoid given Long Leg Calculator

✖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%
✖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 Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid given Long Leg [B_Short]

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Short Base of Trapezoid given Long Leg Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
B_Short = B_Long-(L_Long*(sin(∠_{Smaller Acute}+∠_{Larger Acute}))/(sin(∠_{Larger Acute})))
This formula uses 1 Functions, 5 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 Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides 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.
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 Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
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

B_Short = B_Long-(L_Long*(sin(∠_{Smaller Acute}+∠_{Larger Acute}))/(sin(∠_{Larger Acute}))) --> 15-(11*(sin(0.872664625997001+1.2217304763958))/(sin(1.2217304763958)))

Evaluating ... ...

B_Short = 4.8623451638212

STEP 3: Convert Result to Output's Unit

4.8623451638212 Meter --> No Conversion Required

FINAL ANSWER

4.8623451638212 ≈ 4.862345 Meter <-- Short Base of Trapezoid

(Calculation completed in 00.006 seconds)

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Home » Math » Geometry » 2D Geometry » Trapezoid » Sides of Trapezoid » Short Base of Trapezoid » Short Base 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 Base of Trapezoid Calculators

Short Base of Trapezoid given Short Leg

LaTeX 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)))

Short Base of Trapezoid given Height

LaTeX Go Short Base of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid)))

Short Base of Trapezoid

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

Short Base of Trapezoid given Central Median

LaTeX Go Short Base of Trapezoid = (2*Central Median of Trapezoid)-Long Base 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 Base of Trapezoid given Long Leg Formula

LaTeX Go

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 Base of Trapezoid given Long Leg?

Short Base of Trapezoid given Long Leg calculator uses 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))) to calculate the Short Base of Trapezoid, Short Base of Trapezoid given Long Leg formula is defined as the shorter side among the pair of parallel sides of the Trapezoid, and calculated using the long leg of the Trapezoid. Short Base of Trapezoid is denoted by B_Short symbol.

How to calculate Short Base of Trapezoid given Long Leg using this online calculator? To use this online calculator for Short Base of Trapezoid given Long Leg, enter Long Base of Trapezoid (B_Long), 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 Base of Trapezoid given Long Leg calculation can be explained with given input values -> 4.862345 = 15-(11*(sin(0.872664625997001+1.2217304763958))/(sin(1.2217304763958))).

FAQ

What is Short Base of Trapezoid given Long Leg?

Short Base of Trapezoid given Long Leg formula is defined as the shorter side among the pair of parallel sides of the Trapezoid, and calculated using the long leg of the Trapezoid and is represented as B_Short = B_Long-(L_Long*(sin(∠_{Smaller Acute}+∠_{Larger Acute}))/(sin(∠_{Larger Acute}))) or 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 is the longer side among the pair of parallel sides of the 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 Base of Trapezoid given Long Leg?

Short Base of Trapezoid given Long Leg formula is defined as the shorter side among the pair of parallel sides of the Trapezoid, and calculated using the long leg of the Trapezoid is calculated using 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))). To calculate Short Base of Trapezoid given Long Leg, you need Long Base of Trapezoid (B_Long), 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 Base of Trapezoid, 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 Base of Trapezoid?

In this formula, Short Base of Trapezoid uses Long Base of Trapezoid, 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 Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Long Base of Trapezoid
Short Base of Trapezoid = (2*Central Median of Trapezoid)-Long Base of Trapezoid
Short Base of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid)))

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