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Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge 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{{B Long}^{2} + {l e(Lateral)}^{2} - (2 \cdot B Long \cdot \sqrt{{l e(Lateral)}^{2} - h^{2}})}

d - Diagonal of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge Example

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

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

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

12.6491 = \sqrt{15^{2} + 5^{2} - (2 \cdot 15 \cdot \sqrt{5^{2} - 4^{2}})}

12.6491m = \sqrt{{15m}^{2} + {5m}^{2} - (2 \cdot 15m \cdot \sqrt{{5m}^{2} - {4m}^{2}})}

12.6491 = \sqrt{15^{2} + 5^{2} - (2 \cdot 15 \cdot \sqrt{5^{2} - 4^{2}})}

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Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{{15m}^{2} + {5m}^{2} - (2 \cdot 15m \cdot \sqrt{{5m}^{2} - {4m}^{2}})}

Next Step Prepare to Evaluate

∴

d = \sqrt{15^{2} + 5^{2} - (2 \cdot 15 \cdot \sqrt{5^{2} - 4^{2}})}

Next Step Evaluate

∴

d = 12.6491106406735m

LAST Step Rounding Answer

∴

d = 12.6491m

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge 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

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

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

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

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 Lateral Edge?

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge evaluator uses Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2))) to evaluate the Diagonal of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge 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 lateral edge of the Isosceles Trapezoid. Diagonal of Isosceles Trapezoid is denoted by d symbol.

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

FAQs on Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge

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

The formula of Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge is expressed as Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2))). Here is an example- 12.64911 = sqrt(15^2+5^2-(2*15*sqrt(5^2-4^2))).

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

With Long Base of Isosceles Trapezoid (B_Long), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Height of Isosceles Trapezoid (h) we can find Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge using the formula - Diagonal of Isosceles Trapezoid = sqrt(Long Base of Isosceles Trapezoid^2+Lateral Edge of Isosceles Trapezoid^2-(2*Long Base of Isosceles Trapezoid*sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2))). This formula also uses 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 Lateral Edge be negative?

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

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

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge 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 Lateral Edge can be measured.

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Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge 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 Lateral Edge Example

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge Solution

Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge Formula Elements

Other Formulas to find Diagonal of Isosceles Trapezoid

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

FAQs on Diagonal of Isosceles Trapezoid given Long Base and Lateral Edge

Variable Name

GoDiagonal of Isosceles Trapezoid given Long Base and Acute Angle Formula

GoDiagonal of Isosceles Trapezoid given Long Base and Obtuse Angle Formula