Long Base of Isosceles Trapezoid given Perimeter Calculator

✖Perimeter of Isosceles Trapezoid is the total length of all the boundary lines of the Isosceles Trapezoid.ⓘ Perimeter of Isosceles Trapezoid [P]			+10% -10%
✖Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Short Base of Isosceles Trapezoid [B_Short]			+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%

✖Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Long Base of Isosceles Trapezoid given Perimeter [B_Long]

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Formula

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Long Base of Isosceles Trapezoid given Perimeter

Formula

`"B"_{"Long"} = "P"-("B"_{"Short"}+(2*"l"_{"e(Lateral)"}))`

Example

`"16m"="35m"-("9m"+(2*"5m"))`

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Long Base of Isosceles Trapezoid given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
B_Long = P-(B_Short+(2*l_e(Lateral)))
This formula uses 4 Variables

Variables Used

Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
Perimeter of Isosceles Trapezoid - (Measured in Meter) - Perimeter of Isosceles Trapezoid is the total length of all the boundary lines of the Isosceles Trapezoid.
Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Isosceles Trapezoid: 35 Meter --> 35 Meter No Conversion Required
Short Base of Isosceles Trapezoid: 9 Meter --> 9 Meter No Conversion Required
Lateral Edge of Isosceles Trapezoid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Long = P-(B_Short+(2*l_e(Lateral))) --> 35-(9+(2*5))

Evaluating ... ...

B_Long = 16

STEP 3: Convert Result to Output's Unit

16 Meter --> No Conversion Required

FINAL ANSWER

16 Meter <-- Long Base of Isosceles Trapezoid

(Calculation completed in 00.004 seconds)

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< 6 Long Base of Isosceles Trapezoid Calculators

Long Base of Isosceles Trapezoid given Lateral Edge

Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Height

Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Perimeter

Go Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Diagonal

Go Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid given Area

Go Long Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Short Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid given Central Median

Go Long Base of Isosceles Trapezoid = (2*Central Median of Isosceles Trapezoid)-Short Base of Isosceles Trapezoid

< 13 Edges of Isosceles Trapezoid Calculators

Lateral Edge of Isosceles Trapezoid given Long and Short Base

Go Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Lateral Edge

Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Lateral Edge

Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))

Lateral Edge of Isosceles Trapezoid given Diagonal

Go Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Height

Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Height

Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Perimeter

Go Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Perimeter

Go Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Diagonal

Go Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid given Diagonal

Go Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid given Area

Go Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid given Area

Go Long Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Short Base of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

Go Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Perimeter Formula

Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
B_Long = P-(B_Short+(2*l_e(Lateral)))

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 Long Base of Isosceles Trapezoid given Perimeter?

Long Base of Isosceles Trapezoid given Perimeter calculator uses Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid)) to calculate the Long Base of Isosceles Trapezoid, Long Base of Isosceles Trapezoid given Perimeter is defined as the longer side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using perimeter of the Isosceles Trapezoid. Long Base of Isosceles Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Isosceles Trapezoid given Perimeter using this online calculator? To use this online calculator for Long Base of Isosceles Trapezoid given Perimeter, enter Perimeter of Isosceles Trapezoid (P), Short Base of Isosceles Trapezoid (B_Short) & Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) and hit the calculate button. Here is how the Long Base of Isosceles Trapezoid given Perimeter calculation can be explained with given input values -> 16 = 35-(9+(2*5)).

FAQ

What is Long Base of Isosceles Trapezoid given Perimeter?

Long Base of Isosceles Trapezoid given Perimeter is defined as the longer side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using perimeter of the Isosceles Trapezoid and is represented as B_Long = P-(B_Short+(2*l_e(Lateral))) or Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid)). Perimeter of Isosceles Trapezoid is the total length of all the boundary lines of the Isosceles Trapezoid, Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides 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.

How to calculate Long Base of Isosceles Trapezoid given Perimeter?

Long Base of Isosceles Trapezoid given Perimeter is defined as the longer side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using perimeter of the Isosceles Trapezoid is calculated using Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid)). To calculate Long Base of Isosceles Trapezoid given Perimeter, you need Perimeter of Isosceles Trapezoid (P), Short Base of Isosceles Trapezoid (B_Short) & Lateral Edge of Isosceles Trapezoid (l_e(Lateral)). With our tool, you need to enter the respective value for Perimeter of Isosceles Trapezoid, Short Base of Isosceles Trapezoid & Lateral Edge 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 Long Base of Isosceles Trapezoid?

In this formula, Long Base of Isosceles Trapezoid uses Perimeter of Isosceles Trapezoid, Short Base of Isosceles Trapezoid & Lateral Edge of Isosceles Trapezoid. We can use 9 other way(s) to calculate the same, which is/are as follows -

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

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