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Diagonal of Isosceles Trapezoid given Long Base and Height Formula

GoDiagonal of Isosceles Trapezoid given Long Base and Acute Angle Formula

GoDiagonal of Isosceles Trapezoid given Long Base and Obtuse Angle Formula

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

d = \sqrt{h^{2} + {(B Long - (h \cdot \cot (∠ Acute)))}^{2}}

d - Diagonal of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Diagonal of Isosceles Trapezoid given Long Base and Height Example

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

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

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

12.8382 = \sqrt{4^{2} + {(15 - (4 \cdot \cot (55)))}^{2}}

12.8382m = \sqrt{{4m}^{2} + {(15m - (4m \cdot \cot (55°)))}^{2}}

12.8382 = \sqrt{4^{2} + {(15 - (4 \cdot \cot (55)))}^{2}}

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Diagonal of Isosceles Trapezoid given Long Base and Height Solution

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

FIRST Step Consider the formula

d = \sqrt{h^{2} + {(B Long - (h \cdot \cot (∠ Acute)))}^{2}}

Next Step Substitute values of Variables

∴

d = \sqrt{{4m}^{2} + {(15m - (4m \cdot \cot (55°)))}^{2}}

Next Step Convert Units

∴

d = \sqrt{{4m}^{2} + {(15m - (4m \cdot \cot (0.9599rad)))}^{2}}

Next Step Prepare to Evaluate

∴

d = \sqrt{4^{2} + {(15 - (4 \cdot \cot (0.9599)))}^{2}}

Next Step Evaluate

∴

d = 12.8382142434164m

LAST Step Rounding Answer

∴

d = 12.8382m

Diagonal of Isosceles Trapezoid given Long Base and Height Formula Elements

Variables

Functions

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

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

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

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)

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.

Syntax: sqrt(Number)

Other Formulas to find Diagonal of Isosceles Trapezoid

Go Diagonal of Isosceles Trapezoid given Long Base and Acute Angle

d = \sqrt{{B Long}^{2} + {l e(Lateral)}^{2} - (2 \cdot B Long \cdot l e(Lateral) \cdot \cos (∠ Acute))}

Go Diagonal of Isosceles Trapezoid given Long Base and Obtuse Angle

d = \sqrt{{B Long}^{2} + {l e(Lateral)}^{2} + (2 \cdot B Long \cdot l e(Lateral) \cdot \cos (∠ Obtuse))}

Go Diagonal of Isosceles Trapezoid given Short Base and Obtuse Angle

d = \sqrt{{B Short}^{2} + {l e(Lateral)}^{2} - (2 \cdot B Short \cdot l e(Lateral) \cdot \cos (∠ Obtuse))}

Go Diagonal of Isosceles Trapezoid given Short Base and Acute Angle

d = \sqrt{{B Short}^{2} + {l e(Lateral)}^{2} + (2 \cdot B Short \cdot l e(Lateral) \cdot \cos (∠ Acute))}

How to Evaluate Diagonal of Isosceles Trapezoid given Long Base and Height?

Diagonal of Isosceles Trapezoid given Long Base and Height evaluator uses Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+(Long Base of Isosceles Trapezoid-(Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)))^2) to evaluate the Diagonal of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid given Long Base and Height formula is defined as the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, and calculated using long base and height of the Isosceles Trapezoid. Diagonal of Isosceles Trapezoid is denoted by d symbol.

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

FAQs on Diagonal of Isosceles Trapezoid given Long Base and Height

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

The formula of Diagonal of Isosceles Trapezoid given Long Base and Height is expressed as Diagonal of Isosceles Trapezoid = sqrt(Height of Isosceles Trapezoid^2+(Long Base of Isosceles Trapezoid-(Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)))^2). Here is an example- 12.83821 = sqrt(4^2+(15-(4*cot(0.959931088596701)))^2).

How to calculate Diagonal of Isosceles Trapezoid given Long Base and Height?

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

What are the other ways to Calculate Diagonal of Isosceles Trapezoid?

Here are the different ways to Calculate Diagonal of Isosceles Trapezoid-

Diagonal of Isosceles Trapezoid=sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)))
Diagonal of Isosceles Trapezoid=sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2+(2*Long Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))
Diagonal of Isosceles Trapezoid=sqrt(Short Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Short Base of Isosceles Trapezoid*Lateral Edge of Isosceles Trapezoid*cos(Obtuse Angle of Isosceles Trapezoid)))

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

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

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

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

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Diagonal of Isosceles Trapezoid given Long Base and Height Formula

​GoDiagonal of Isosceles Trapezoid given Long Base and Acute Angle Formula

​GoDiagonal of Isosceles Trapezoid given Long Base and Obtuse Angle Formula

Diagonal of Isosceles Trapezoid given Long Base and Height Example

Diagonal of Isosceles Trapezoid given Long Base and Height Solution

Diagonal of Isosceles Trapezoid given Long Base and Height Formula Elements

Other Formulas to find Diagonal of Isosceles Trapezoid

How to Evaluate Diagonal of Isosceles Trapezoid given Long Base and Height?

FAQs on Diagonal of Isosceles Trapezoid given Long Base and Height

Variable Name

GoDiagonal of Isosceles Trapezoid given Long Base and Acute Angle Formula

GoDiagonal of Isosceles Trapezoid given Long Base and Obtuse Angle Formula