Central Median of Trapezoid 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%
✖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%

✖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 [M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Trapezoid Formula PDF PDF Image

Central Median of Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2
M = (B_Long+B_Short)/2
This formula uses 3 Variables

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.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel 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.

STEP 1: Convert Input(s) to Base Unit

Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (B_Long+B_Short)/2 --> (15+5)/2

Evaluating ... ...

M = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Central Median of Trapezoid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Trapezoid » Central Median of Trapezoid » Central Median of Trapezoid

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Calculator and 50+ more calculators!

< 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 Formula

LaTeX Go

Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2
M = (B_Long+B_Short)/2

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?

Central Median of Trapezoid calculator uses Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2 to calculate the Central Median of Trapezoid, Central Median of Trapezoid 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. Central Median of Trapezoid is denoted by M symbol.

How to calculate Central Median of Trapezoid using this online calculator? To use this online calculator for Central Median of Trapezoid, enter Long Base of Trapezoid (B_Long) & Short Base of Trapezoid (B_Short) and hit the calculate button. Here is how the Central Median of Trapezoid calculation can be explained with given input values -> 10 = (15+5)/2.

FAQ

What is Central Median of Trapezoid?

Central Median of Trapezoid 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 is represented as M = (B_Long+B_Short)/2 or Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2. Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid & Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

How to calculate Central Median of Trapezoid?

Central Median of Trapezoid 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 is calculated using Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2. To calculate Central Median of Trapezoid, you need Long Base of Trapezoid (B_Long) & Short Base of Trapezoid (B_Short). With our tool, you need to enter the respective value for Long Base of Trapezoid & Short Base 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 Long Base of Trapezoid & Short Base 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-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2)
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 = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Height of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

Home

FREE PDFs

🔍 Search