Central Median of Trapezoid given Height, and Short Base Calculator

✖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%
✖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%
✖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%

✖Central Median of Trapezoid is the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid.ⓘ Central Median of Trapezoid given Height, and Short Base [M]

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Central Median of Trapezoid given Height, and Short Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)
M = B_Short+(h*(cot(∠_{Smaller Acute})+cot(∠_{Larger Acute}))/2)
This formula uses 1 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Central Median of Trapezoid - (Measured in Meter) - Central Median of Trapezoid is the length of the line joining the midpoints of both legs or the non parallel pair of opposite 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.
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.
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

Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 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

M = B_Short+(h*(cot(∠_{Smaller Acute})+cot(∠_{Larger Acute}))/2) --> 5+(8*(cot(0.872664625997001)+cot(1.2217304763958))/2)

Evaluating ... ...

M = 9.81227946177609

STEP 3: Convert Result to Output's Unit

9.81227946177609 Meter --> No Conversion Required

FINAL ANSWER

9.81227946177609 ≈ 9.812279 Meter <-- Central Median of Trapezoid

(Calculation completed in 00.004 seconds)

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< Central Median of Trapezoid Calculators

Central Median of Trapezoid given Height, and Short Base

LaTeX Go Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)

Central Median of Trapezoid given Height, and Long Base

LaTeX Go Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)

Central Median of Trapezoid given Both Diagonals and Leg Angle between Diagonals

LaTeX Go Central Median of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Height of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

Central Median of Trapezoid

LaTeX Go Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2

< Central Median of Trapezoid Calculators

Central Median of Trapezoid given Height, and Short Base

LaTeX Go Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)

Central Median of Trapezoid given Height, and Long Base

LaTeX Go Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)

Central Median of Trapezoid

LaTeX Go Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2

Central Median of Trapezoid given Height, and Short Base 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 Central Median of Trapezoid given Height, and Short Base?

Central Median of Trapezoid given Height, and Short Base calculator uses Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2) to calculate the Central Median of Trapezoid, Central Median of Trapezoid given Height, and Short Base formula is defined as the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid, and calculated using height, and short base of the Trapezoid. Central Median of Trapezoid is denoted by M symbol.

How to calculate Central Median of Trapezoid given Height, and Short Base using this online calculator? To use this online calculator for Central Median of Trapezoid given Height, and Short Base, enter Short Base of Trapezoid (B_Short), Height of Trapezoid (h), Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) and hit the calculate button. Here is how the Central Median of Trapezoid given Height, and Short Base calculation can be explained with given input values -> 9.812279 = 5+(8*(cot(0.872664625997001)+cot(1.2217304763958))/2).

FAQ

What is Central Median of Trapezoid given Height, and Short Base?

Central Median of Trapezoid given Height, and Short Base formula is defined as the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid, and calculated using height, and short base of the Trapezoid and is represented as M = B_Short+(h*(cot(∠_{Smaller Acute})+cot(∠_{Larger Acute}))/2) or Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2). Short Base of Trapezoid is the shorter side among the pair of parallel sides of the 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 & 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 Central Median of Trapezoid given Height, and Short Base?

Central Median of Trapezoid given Height, and Short Base formula is defined as the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid, and calculated using height, and short base of the Trapezoid is calculated using Central Median of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2). To calculate Central Median of Trapezoid given Height, and Short Base, you need Short Base of Trapezoid (B_Short), Height of Trapezoid (h), 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 Short Base of Trapezoid, Height 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 Central Median of Trapezoid?

In this formula, Central Median of Trapezoid uses Short Base of Trapezoid, Height 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 -

Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2
Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)
Central Median of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Height of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

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