Central Median of Right Trapezoid given Short Base, Height, and Acute Angle Calculator

✖The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.ⓘ Short Base of Right Trapezoid [B_Short]			+10% -10%
✖Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.ⓘ Height of Right Trapezoid [h]			+10% -10%
✖Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.ⓘ Acute Angle of Right Trapezoid [∠_Acute]			+10% -10%

✖The Central Median of Right Trapezoid is line segment parallel to the bases joining the midpoints of slant side and right angle side of the Right Trapezoid.ⓘ Central Median of Right Trapezoid given Short Base, Height, and Acute Angle [M_Central]

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Central Median of Right Trapezoid given Short Base, Height, and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Right Trapezoid = Short Base of Right Trapezoid+(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2
M_Central = B_Short+(h*cot(∠_Acute))/2
This formula uses 1 Functions, 4 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 Right Trapezoid - (Measured in Meter) - The Central Median of Right Trapezoid is line segment parallel to the bases joining the midpoints of slant side and right angle side of the Right Trapezoid.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
Height of Right Trapezoid - (Measured in Meter) - Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.
Acute Angle of Right Trapezoid - (Measured in Radian) - Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Height of Right Trapezoid: 10 Meter --> 10 Meter No Conversion Required
Acute Angle of Right Trapezoid: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Central = B_Short+(h*cot(∠_Acute))/2 --> 15+(10*cot(1.1344640137961))/2

Evaluating ... ...

M_Central = 17.3315382907763

STEP 3: Convert Result to Output's Unit

17.3315382907763 Meter --> No Conversion Required

FINAL ANSWER

17.3315382907763 ≈ 17.33154 Meter <-- Central Median of Right Trapezoid

(Calculation completed in 00.004 seconds)

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< Central Median of Right Trapezoid Calculators

Central Median of Right Trapezoid given Short Base, Height, and Acute Angle

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

Central Median of Right Trapezoid given Long Base, Height, and Acute Angle

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

Central Median of Right Trapezoid

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

Central Median of Right Trapezoid given Height and Area

LaTeX Go Central Median of Right Trapezoid = Area of Right Trapezoid/Height of Right Trapezoid

Central Median of Right Trapezoid given Short Base, Height, and Acute Angle Formula

LaTeX Go

Central Median of Right Trapezoid = Short Base of Right Trapezoid+(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2
M_Central = B_Short+(h*cot(∠_Acute))/2

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

How to Calculate Central Median of Right Trapezoid given Short Base, Height, and Acute Angle?

Central Median of Right Trapezoid given Short Base, Height, and Acute Angle calculator uses Central Median of Right Trapezoid = Short Base of Right Trapezoid+(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2 to calculate the Central Median of Right Trapezoid, Central Median of Right Trapezoid given Short Base, Height, and Acute Angle formula is defined as length of the line joining the midpoints of both the non-parallel pair of the Right Trapezoid, calculated using the short base, height and acute angle. Central Median of Right Trapezoid is denoted by M_Central symbol.

How to calculate Central Median of Right Trapezoid given Short Base, Height, and Acute Angle using this online calculator? To use this online calculator for Central Median of Right Trapezoid given Short Base, Height, and Acute Angle, enter Short Base of Right Trapezoid (B_Short), Height of Right Trapezoid (h) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button. Here is how the Central Median of Right Trapezoid given Short Base, Height, and Acute Angle calculation can be explained with given input values -> 17.33154 = 15+(10*cot(1.1344640137961))/2.

FAQ

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

Central Median of Right Trapezoid given Short Base, Height, and Acute Angle formula is defined as length of the line joining the midpoints of both the non-parallel pair of the Right Trapezoid, calculated using the short base, height and acute angle and is represented as M_Central = B_Short+(h*cot(∠_Acute))/2 or Central Median of Right Trapezoid = Short Base of Right Trapezoid+(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2. The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid, Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid & Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

How to calculate Central Median of Right Trapezoid given Short Base, Height, and Acute Angle?

Central Median of Right Trapezoid given Short Base, Height, and Acute Angle formula is defined as length of the line joining the midpoints of both the non-parallel pair of the Right Trapezoid, calculated using the short base, height and acute angle is calculated using Central Median of Right Trapezoid = Short Base of Right Trapezoid+(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2. To calculate Central Median of Right Trapezoid given Short Base, Height, and Acute Angle, you need Short Base of Right Trapezoid (B_Short), Height of Right Trapezoid (h) & Acute Angle of Right Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Short Base of Right Trapezoid, Height of Right Trapezoid & Acute Angle of Right 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 Right Trapezoid?

In this formula, Central Median of Right Trapezoid uses Short Base of Right Trapezoid, Height of Right Trapezoid & Acute Angle of Right Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Central Median of Right Trapezoid = Area of Right Trapezoid/Height of Right Trapezoid
Central Median of Right Trapezoid = (Long Base of Right Trapezoid+Short Base of Right Trapezoid)/2
Central Median of Right Trapezoid = Long Base of Right Trapezoid-(Height of Right Trapezoid*cot(Acute Angle of Right Trapezoid))/2

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