Lateral Edge of Isosceles Trapezoid given Diagonal Calculator

✖Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.ⓘ Diagonal of Isosceles Trapezoid [d]			+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 [B_Long]			+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 given Diagonal [l_e(Lateral)]

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Lateral Edge of Isosceles Trapezoid given Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))
l_e(Lateral) = sqrt(d^2-(B_Long*B_Short))
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

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.
Diagonal of Isosceles Trapezoid - (Measured in Meter) - Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Isosceles Trapezoid: 13 Meter --> 13 Meter No Conversion Required
Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Isosceles Trapezoid: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Lateral) = sqrt(d^2-(B_Long*B_Short)) --> sqrt(13^2-(15*9))

Evaluating ... ...

l_e(Lateral) = 5.8309518948453

STEP 3: Convert Result to Output's Unit

5.8309518948453 Meter --> No Conversion Required

FINAL ANSWER

5.8309518948453 ≈ 5.830952 Meter <-- Lateral Edge of Isosceles Trapezoid

(Calculation completed in 00.020 seconds)

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< Lateral Edge of Isosceles Trapezoid Calculators

Lateral Edge of Isosceles Trapezoid given Long and Short Base

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

Lateral Edge of Isosceles Trapezoid given Diagonal

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

Lateral Edge of Isosceles Trapezoid given Area and Central Median

LaTeX Go Lateral Edge of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Central Median of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid))

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

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

< Edges of Isosceles Trapezoid Calculators

Lateral Edge of Isosceles Trapezoid given Long and Short Base

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

Long Base of Isosceles Trapezoid given Diagonal

LaTeX 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

LaTeX 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

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

Lateral Edge of Isosceles Trapezoid given Diagonal Formula

LaTeX Go

Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))
l_e(Lateral) = sqrt(d^2-(B_Long*B_Short))

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 Lateral Edge of Isosceles Trapezoid given Diagonal?

Lateral Edge of Isosceles Trapezoid given Diagonal calculator uses Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)) to calculate the Lateral Edge of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid given Diagonal formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the diagonal of the Isosceles Trapezoid. Lateral Edge of Isosceles Trapezoid is denoted by l_e(Lateral) symbol.

How to calculate Lateral Edge of Isosceles Trapezoid given Diagonal using this online calculator? To use this online calculator for Lateral Edge of Isosceles Trapezoid given Diagonal, enter Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button. Here is how the Lateral Edge of Isosceles Trapezoid given Diagonal calculation can be explained with given input values -> 5.830952 = sqrt(13^2-(15*9)).

FAQ

What is Lateral Edge of Isosceles Trapezoid given Diagonal?

Lateral Edge of Isosceles Trapezoid given Diagonal formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the diagonal of the Isosceles Trapezoid and is represented as l_e(Lateral) = sqrt(d^2-(B_Long*B_Short)) or Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)). Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid & Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

How to calculate Lateral Edge of Isosceles Trapezoid given Diagonal?

Lateral Edge of Isosceles Trapezoid given Diagonal formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the diagonal of the Isosceles Trapezoid is calculated using Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)). To calculate Lateral Edge of Isosceles Trapezoid given Diagonal, you need Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short). With our tool, you need to enter the respective value for Diagonal of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base 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 Lateral Edge of Isosceles Trapezoid?

In this formula, Lateral Edge of Isosceles Trapezoid uses Diagonal of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base of Isosceles Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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