Central Median of Right Trapezoid given Long Base and both Sides Calculator

✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid [B_Long]			+10% -10%
✖Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.ⓘ Slant Side of Right Trapezoid [S_Slant]			+10% -10%
✖Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.ⓘ Right Angle Side of Right Trapezoid [S_∠Right]			+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 Long Base and both Sides [M_Central]

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Central Median of Right Trapezoid given Long Base and both Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Right Trapezoid = Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)/2
M_Central = B_Long-sqrt(S_Slant^2-S_∠Right^2)/2
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Slant Side of Right Trapezoid - (Measured in Meter) - Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.
Right Angle Side of Right Trapezoid - (Measured in Meter) - Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Base of Right Trapezoid: 20 Meter --> 20 Meter No Conversion Required
Slant Side of Right Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Right Angle Side of Right Trapezoid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Central = B_Long-sqrt(S_Slant^2-S_∠Right^2)/2 --> 20-sqrt(11^2-10^2)/2

Evaluating ... ...

M_Central = 17.7087121525221

STEP 3: Convert Result to Output's Unit

17.7087121525221 Meter --> No Conversion Required

FINAL ANSWER

17.7087121525221 ≈ 17.70871 Meter <-- Central Median of Right Trapezoid

(Calculation completed in 00.020 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 Long Base and both Sides Formula

LaTeX Go

Central Median of Right Trapezoid = Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)/2
M_Central = B_Long-sqrt(S_Slant^2-S_∠Right^2)/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 Long Base and both Sides?

Central Median of Right Trapezoid given Long Base and both Sides calculator uses Central Median of Right Trapezoid = Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)/2 to calculate the Central Median of Right Trapezoid, Central Median of Right Trapezoid given Long Base and both Sides formula is defined as the length of the line joining the midpoints of both the non-parallel pair of opposite sides of the Right Trapezoid, calculated using the long base and both sides. Central Median of Right Trapezoid is denoted by M_Central symbol.

How to calculate Central Median of Right Trapezoid given Long Base and both Sides using this online calculator? To use this online calculator for Central Median of Right Trapezoid given Long Base and both Sides, enter Long Base of Right Trapezoid (B_Long), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right) and hit the calculate button. Here is how the Central Median of Right Trapezoid given Long Base and both Sides calculation can be explained with given input values -> 17.70871 = 20-sqrt(11^2-10^2)/2.

FAQ

What is Central Median of Right Trapezoid given Long Base and both Sides?

Central Median of Right Trapezoid given Long Base and both Sides formula is defined as the length of the line joining the midpoints of both the non-parallel pair of opposite sides of the Right Trapezoid, calculated using the long base and both sides and is represented as M_Central = B_Long-sqrt(S_Slant^2-S_∠Right^2)/2 or Central Median of Right Trapezoid = Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)/2. Long Base of Right Trapezoid is the longer side among the pair of parallel edges, Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid & Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

How to calculate Central Median of Right Trapezoid given Long Base and both Sides?

Central Median of Right Trapezoid given Long Base and both Sides formula is defined as the length of the line joining the midpoints of both the non-parallel pair of opposite sides of the Right Trapezoid, calculated using the long base and both sides is calculated using Central Median of Right Trapezoid = Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)/2. To calculate Central Median of Right Trapezoid given Long Base and both Sides, you need Long Base of Right Trapezoid (B_Long), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right). With our tool, you need to enter the respective value for Long Base of Right Trapezoid, Slant Side of Right Trapezoid & Right Angle Side 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 Long Base of Right Trapezoid, Slant Side of Right Trapezoid & Right Angle Side 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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