Central Median of Isosceles Trapezoid given Area and Lateral Edge Calculator

✖Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.ⓘ Area of Isosceles Trapezoid [A]			+10% -10%
✖Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.ⓘ Lateral Edge of Isosceles Trapezoid [l_e(Lateral)]			+10% -10%
✖Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.ⓘ Acute Angle of Isosceles Trapezoid [∠_Acute]			+10% -10%

✖Central Median of Isosceles Trapezoid is the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid.ⓘ Central Median of Isosceles Trapezoid given Area and Lateral Edge [M]

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Central Median of Isosceles Trapezoid given Area and Lateral Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid))
M = A/(l_e(Lateral)*sin(∠_Acute))
This formula uses 1 Functions, 4 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

Central Median of Isosceles Trapezoid - (Measured in Meter) - Central Median of Isosceles Trapezoid is the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid.
Area of Isosceles Trapezoid - (Measured in Square Meter) - Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.
Lateral Edge of Isosceles Trapezoid - (Measured in Meter) - Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.
Acute Angle of Isosceles Trapezoid - (Measured in Radian) - Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Area of Isosceles Trapezoid: 50 Square Meter --> 50 Square Meter No Conversion Required
Lateral Edge of Isosceles Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Acute Angle of Isosceles Trapezoid: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = A/(l_e(Lateral)*sin(∠_Acute)) --> 50/(5*sin(0.959931088596701))

Evaluating ... ...

M = 12.2077458876161

STEP 3: Convert Result to Output's Unit

12.2077458876161 Meter --> No Conversion Required

FINAL ANSWER

12.2077458876161 ≈ 12.20775 Meter <-- Central Median of Isosceles Trapezoid

(Calculation completed in 00.011 seconds)

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< Central Median of Isosceles Trapezoid Calculators

Central Median of Isosceles Trapezoid given Lateral Edge and Short Base

LaTeX Go Central Median of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2)

Central Median of Isosceles Trapezoid given Lateral Edge and Long Base

LaTeX Go Central Median of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2)

Central Median of Isosceles Trapezoid given Short Base and Acute Angle

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

Central Median of Isosceles Trapezoid

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

Central Median of Isosceles Trapezoid given Area and Lateral Edge Formula

LaTeX Go

Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid))
M = A/(l_e(Lateral)*sin(∠_Acute))

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

Central Median of Isosceles Trapezoid given Area and Lateral Edge calculator uses Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)) to calculate the Central Median of Isosceles Trapezoid, Central Median of Isosceles Trapezoid given Area and Lateral Edge is defined as the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid, and calculated using the area and lateral edge of the Isosceles Trapezoid. Central Median of Isosceles Trapezoid is denoted by M symbol.

How to calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge using this online calculator? To use this online calculator for Central Median of Isosceles Trapezoid given Area and Lateral Edge, enter Area of Isosceles Trapezoid (A), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button. Here is how the Central Median of Isosceles Trapezoid given Area and Lateral Edge calculation can be explained with given input values -> 12.20775 = 50/(5*sin(0.959931088596701)).

FAQ

What is Central Median of Isosceles Trapezoid given Area and Lateral Edge?

Central Median of Isosceles Trapezoid given Area and Lateral Edge is defined as the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid, and calculated using the area and lateral edge of the Isosceles Trapezoid and is represented as M = A/(l_e(Lateral)*sin(∠_Acute)) or Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)). Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid & Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

How to calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

Central Median of Isosceles Trapezoid given Area and Lateral Edge is defined as the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid, and calculated using the area and lateral edge of the Isosceles Trapezoid is calculated using Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)). To calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge, you need Area of Isosceles Trapezoid (A), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Area of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid & Acute Angle of Isosceles 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 Isosceles Trapezoid?

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

Central Median of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2
Central Median of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
Central Median of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2)

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