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Diagonal of Isosceles Trapezoid given Short Base and Acute Angle Formula

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

d - Diagonal of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle Example

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Here is how the Diagonal of Isosceles Trapezoid given Short Base and Acute Angle equation looks like with Values.

Here is how the Diagonal of Isosceles Trapezoid given Short Base and Acute Angle equation looks like with Units.

Here is how the Diagonal of Isosceles Trapezoid given Short Base and Acute Angle equation looks like.

12.5548 = \sqrt{9^{2} + 5^{2} + (2 \cdot 9 \cdot 5 \cdot \cos (55))}

12.5548m = \sqrt{{9m}^{2} + {5m}^{2} + (2 \cdot 9m \cdot 5m \cdot \cos (55°))}

12.5548 = \sqrt{9^{2} + 5^{2} + (2 \cdot 9 \cdot 5 \cdot \cos (55))}

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Diagonal of Isosceles Trapezoid given Short Base and Acute Angle Solution

Follow our step by step solution on how to calculate Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{{9m}^{2} + {5m}^{2} + (2 \cdot 9m \cdot 5m \cdot \cos (55°))}

Next Step Convert Units

∴

d = \sqrt{{9m}^{2} + {5m}^{2} + (2 \cdot 9m \cdot 5m \cdot \cos (0.9599rad))}

Next Step Prepare to Evaluate

∴

d = \sqrt{9^{2} + 5^{2} + (2 \cdot 9 \cdot 5 \cdot \cos (0.9599))}

Next Step Evaluate

∴

d = 12.5547552453884m

LAST Step Rounding Answer

∴

d = 12.5548m

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle 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

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

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Central Median and Height

d = \sqrt{h^{2} + M^{2}}

How to Evaluate Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle evaluator uses 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(Acute Angle of Isosceles Trapezoid))) to evaluate the Diagonal of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid given Short Base and Acute Angle formula is defined as the length of the line joining any pair of opposite corners of the Isosceles Trapezoid, and calculated using short base and acute angle of the Isosceles Trapezoid. Diagonal of Isosceles Trapezoid is denoted by d symbol.

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

FAQs on Diagonal of Isosceles Trapezoid given Short Base and Acute Angle

What is the formula to find Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

The formula of Diagonal of Isosceles Trapezoid given Short Base and Acute Angle is expressed as 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(Acute Angle of Isosceles Trapezoid))). Here is an example- 12.55476 = sqrt(9^2+5^2+(2*9*5*cos(0.959931088596701))).

How to calculate Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

With Short Base of Isosceles Trapezoid (B_Short), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Diagonal of Isosceles Trapezoid given Short Base and Acute Angle using the formula - 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(Acute Angle of Isosceles Trapezoid))). This formula also uses Cosine (cos), 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 Short Base and Acute Angle be negative?

No, the Diagonal of Isosceles Trapezoid given Short Base and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle 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 Short Base and Acute Angle can be measured.

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Diagonal of Isosceles Trapezoid given Short Base and Acute Angle 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 Short Base and Acute Angle Example

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle Solution

Diagonal of Isosceles Trapezoid given Short Base and Acute Angle Formula Elements

Other Formulas to find Diagonal of Isosceles Trapezoid

How to Evaluate Diagonal of Isosceles Trapezoid given Short Base and Acute Angle?

FAQs on Diagonal of Isosceles Trapezoid given Short Base and Acute Angle

Variable Name

GoDiagonal of Isosceles Trapezoid given Long Base and Acute Angle Formula

GoDiagonal of Isosceles Trapezoid given Long Base and Obtuse Angle Formula