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Short Base of Isosceles Trapezoid given Height Formula

GoShort Base of Isosceles Trapezoid given Area Formula

GoShort Base of Isosceles Trapezoid given Perimeter Formula

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

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

B_Short - Short Base of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Short Base of Isosceles Trapezoid given Height Example

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Here is how the Short Base of Isosceles Trapezoid given Height equation looks like with Values.

Here is how the Short Base of Isosceles Trapezoid given Height equation looks like with Units.

Here is how the Short Base of Isosceles Trapezoid given Height equation looks like.

9.3983 = 15 - (2 \cdot 4 \cdot \cot (55))

9.3983m = 15m - (2 \cdot 4m \cdot \cot (55°))

9.3983 = 15 - (2 \cdot 4 \cdot \cot (55))

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Short Base of Isosceles Trapezoid given Height Solution

Follow our step by step solution on how to calculate Short Base of Isosceles Trapezoid given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Short = 15m - (2 \cdot 4m \cdot \cot (55°))

Next Step Convert Units

∴

B Short = 15m - (2 \cdot 4m \cdot \cot (0.9599rad))

Next Step Prepare to Evaluate

∴

B Short = 15 - (2 \cdot 4 \cdot \cot (0.9599))

Next Step Evaluate

∴

B Short = 9.39833969432017m

LAST Step Rounding Answer

∴

B Short = 9.3983m

Short Base of Isosceles Trapezoid given Height Formula Elements

Variables

Functions

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

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

Height of Isosceles Trapezoid

Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Trapezoid

Acute Angle of 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.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Isosceles Trapezoid

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Short Base of Isosceles Trapezoid

Go Short Base of Isosceles Trapezoid given Area

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

Go Short Base of Isosceles Trapezoid given Perimeter

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

Go Short Base of Isosceles Trapezoid given Diagonal

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

Go Short Base of Isosceles Trapezoid given Lateral Edge

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

Other formulas in Short 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 Long Base of Isosceles Trapezoid given Area

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

Go Long Base of Isosceles Trapezoid given Diagonal

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

How to Evaluate Short Base of Isosceles Trapezoid given Height?

Short Base of Isosceles Trapezoid given Height evaluator uses Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)) to evaluate the Short Base of Isosceles Trapezoid, Short Base of Isosceles Trapezoid given Height formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using height of the Isosceles Trapezoid. Short Base of Isosceles Trapezoid is denoted by B_Short symbol.

How to evaluate Short Base of Isosceles Trapezoid given Height using this online evaluator? To use this online evaluator for Short Base of Isosceles Trapezoid given Height, enter Long Base of Isosceles Trapezoid (B_Long), Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Short Base of Isosceles Trapezoid given Height

What is the formula to find Short Base of Isosceles Trapezoid given Height?

The formula of Short Base of Isosceles Trapezoid given Height is expressed as Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)). Here is an example- 9.39834 = 15-(2*4*cot(0.959931088596701)).

How to calculate Short Base of Isosceles Trapezoid given Height?

With Long Base of Isosceles Trapezoid (B_Long), Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Short Base of Isosceles Trapezoid given Height using the formula - Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)). This formula also uses Cotangent (cot) function(s).

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

Here are the different ways to Calculate Short Base of Isosceles Trapezoid-

Short Base of Isosceles Trapezoid=(2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid=Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid=(Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid

Can the Short Base of Isosceles Trapezoid given Height be negative?

No, the Short Base of Isosceles Trapezoid given Height, measured in Length cannot be negative.

Which unit is used to measure Short Base of Isosceles Trapezoid given Height?

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

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Short Base of Isosceles Trapezoid given Height Formula

​GoShort Base of Isosceles Trapezoid given Area Formula

​GoShort Base of Isosceles Trapezoid given Perimeter Formula

Short Base of Isosceles Trapezoid given Height Example

Short Base of Isosceles Trapezoid given Height Solution

Short Base of Isosceles Trapezoid given Height Formula Elements

Other Formulas to find Short Base of Isosceles Trapezoid

Other formulas in Short Base of Isosceles Trapezoid category

How to Evaluate Short Base of Isosceles Trapezoid given Height?

FAQs on Short Base of Isosceles Trapezoid given Height

Variable Name

GoShort Base of Isosceles Trapezoid given Area Formula

GoShort Base of Isosceles Trapezoid given Perimeter Formula