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Long Base of Isosceles Trapezoid given Diagonal Formula

GoLong Base of Isosceles Trapezoid given Area Formula

GoLong Base of Isosceles Trapezoid given Height Formula

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Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid. Check FAQs

B Long = \frac{d^{2} - {l e(Lateral)}^{2}}{B Short}

B_Long - Long Base of Isosceles Trapezoid?d - Diagonal of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?

Long Base of Isosceles Trapezoid given Diagonal Example

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Here is how the Long Base of Isosceles Trapezoid given Diagonal equation looks like with Units.

Here is how the Long Base of Isosceles Trapezoid given Diagonal equation looks like.

16 = \frac{13^{2} - 5^{2}}{9}

16m = \frac{{13m}^{2} - {5m}^{2}}{9m}

16 = \frac{13^{2} - 5^{2}}{9}

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Long Base of Isosceles Trapezoid given Diagonal Solution

Follow our step by step solution on how to calculate Long Base of Isosceles Trapezoid given Diagonal?

FIRST Step Consider the formula

B Long = \frac{d^{2} - {l e(Lateral)}^{2}}{B Short}

Next Step Substitute values of Variables

∴

B Long = \frac{{13m}^{2} - {5m}^{2}}{9m}

Next Step Prepare to Evaluate

∴

B Long = \frac{13^{2} - 5^{2}}{9}

LAST Step Evaluate

∴

B Long = 16m

Long Base of Isosceles Trapezoid given Diagonal Formula Elements

Variables

Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Isosceles Trapezoid

Diagonal of Isosceles Trapezoid

Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Isosceles Trapezoid

Other Formulas to find Long Base of Isosceles Trapezoid

Go Long Base of Isosceles Trapezoid given Area

B Long = \frac{2 \cdot A}{h} - B Short

Go Long Base of Isosceles Trapezoid given Height

B Long = B Short + (2 \cdot h \cdot \cot (∠ Acute))

Go Long Base of Isosceles Trapezoid given Lateral Edge

B Long = B Short + (2 \cdot l e(Lateral) \cdot \cos (∠ Acute))

Go Long Base of Isosceles Trapezoid given Perimeter

B Long = P - (B Short + (2 \cdot l e(Lateral)))

Other formulas in Long Base of Isosceles Trapezoid category

Go Lateral Edge of Isosceles Trapezoid given Long and Short Base

l e(Lateral) = \frac{B Long - B Short}{2 \cdot \cos (∠ Acute)}

Go Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

l e(Lateral) = \frac{h}{\sin (∠ Acute)}

Go Short Base of Isosceles Trapezoid given Area

B Short = \frac{2 \cdot A}{h} - B Long

Go Short Base of Isosceles Trapezoid given Height

B Short = B Long - (2 \cdot h \cdot \cot (∠ Acute))

How to Evaluate Long Base of Isosceles Trapezoid given Diagonal?

Long Base of Isosceles Trapezoid given Diagonal evaluator uses Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid to evaluate the Long Base of Isosceles Trapezoid, Long Base of Isosceles Trapezoid given Diagonal is defined as the longer side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using diagonal of the Isosceles Trapezoid. Long Base of Isosceles Trapezoid is denoted by B_Long symbol.

How to evaluate Long Base of Isosceles Trapezoid given Diagonal using this online evaluator? To use this online evaluator for Long Base of Isosceles Trapezoid given Diagonal, enter Diagonal of Isosceles Trapezoid (d), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button.

FAQs on Long Base of Isosceles Trapezoid given Diagonal

What is the formula to find Long Base of Isosceles Trapezoid given Diagonal?

The formula of Long Base of Isosceles Trapezoid given Diagonal is expressed as Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid. Here is an example- 16 = (13^2-5^2)/9.

How to calculate Long Base of Isosceles Trapezoid given Diagonal?

With Diagonal of Isosceles Trapezoid (d), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Short Base of Isosceles Trapezoid (B_Short) we can find Long Base of Isosceles Trapezoid given Diagonal using the formula - Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid.

What are the other ways to Calculate Long Base of Isosceles Trapezoid?

Here are the different ways to Calculate Long 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=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))

Can the Long Base of Isosceles Trapezoid given Diagonal be negative?

No, the Long Base of Isosceles Trapezoid given Diagonal, measured in Length cannot be negative.

Which unit is used to measure Long Base of Isosceles Trapezoid given Diagonal?

Long Base of Isosceles Trapezoid given Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Base of Isosceles Trapezoid given Diagonal can be measured.

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Long Base of Isosceles Trapezoid given Diagonal Formula

​GoLong Base of Isosceles Trapezoid given Area Formula

​GoLong Base of Isosceles Trapezoid given Height Formula

Long Base of Isosceles Trapezoid given Diagonal Example

Long Base of Isosceles Trapezoid given Diagonal Solution

Long Base of Isosceles Trapezoid given Diagonal Formula Elements

Other Formulas to find Long Base of Isosceles Trapezoid

Other formulas in Long Base of Isosceles Trapezoid category

How to Evaluate Long Base of Isosceles Trapezoid given Diagonal?

FAQs on Long Base of Isosceles Trapezoid given Diagonal

Variable Name

GoLong Base of Isosceles Trapezoid given Area Formula

GoLong Base of Isosceles Trapezoid given Height Formula