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Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Formula

GoHeight of Right Trapezoid Formula

GoHeight of Right Trapezoid given both Bases and Acute Angle Formula

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Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid. Check FAQs

h = \frac{d Long \cdot d Short}{B Long + B Short} \cdot \sin (∠ Diagonals)

h - Height of Right Trapezoid?d_Long - Long Diagonal of Right Trapezoid?d_Short - Short Diagonal of Right Trapezoid?B_Long - Long Base of Right Trapezoid?B_Short - Short Base of Right Trapezoid?∠_Diagonals - Angle between Diagonals of Right Trapezoid?

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Example

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Here is how the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals equation looks like with Values.

Here is how the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals equation looks like with Units.

Here is how the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals equation looks like.

9.7985 = \frac{22 \cdot 18}{20 + 15} \cdot \sin (60)

9.7985m = \frac{22m \cdot 18m}{20m + 15m} \cdot \sin (60°)

9.7985 = \frac{22 \cdot 18}{20 + 15} \cdot \sin (60)

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Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Solution

Follow our step by step solution on how to calculate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

FIRST Step Consider the formula

h = \frac{d Long \cdot d Short}{B Long + B Short} \cdot \sin (∠ Diagonals)

Next Step Substitute values of Variables

∴

h = \frac{22m \cdot 18m}{20m + 15m} \cdot \sin (60°)

Next Step Convert Units

∴

h = \frac{22m \cdot 18m}{20m + 15m} \cdot \sin (1.0472rad)

Next Step Prepare to Evaluate

∴

h = \frac{22 \cdot 18}{20 + 15} \cdot \sin (1.0472)

Next Step Evaluate

∴

h = 9.79845885424567m

LAST Step Rounding Answer

∴

h = 9.7985m

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Formula Elements

Variables

Functions

Height of Right Trapezoid

Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Right Trapezoid

Long Diagonal of Right Trapezoid

Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Right Trapezoid

Short Diagonal of Right Trapezoid

Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Right Trapezoid

Long Base of Right Trapezoid

Long Base of Right Trapezoid is the longer side among the pair of parallel edges.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Right Trapezoid

Short Base of Right Trapezoid

The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Right Trapezoid

Angle between Diagonals of Right Trapezoid

Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.

Symbol: ∠_Diagonals

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonals of Right Trapezoid

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Height of Right Trapezoid

Go Height of Right Trapezoid

h = \sqrt{{S Slant}^{2} - {(B Long - B Short)}^{2}}

Go Height of Right Trapezoid given both Bases and Acute Angle

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

Go Height of Right Trapezoid given Acute Angle and Slant Side

h = S Slant \cdot \sin (∠ Acute)

Go Height of Right Trapezoid given Area and Central Median

h = \frac{A}{M Central}

How to Evaluate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals evaluator uses Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid) to evaluate the Height of Right Trapezoid, Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both diagonals, both bases, and angle between diagonals. Height of Right Trapezoid is denoted by h symbol.

How to evaluate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals using this online evaluator? To use this online evaluator for Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals, enter Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Angle between Diagonals of Right Trapezoid (∠_Diagonals) and hit the calculate button.

FAQs on Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals

What is the formula to find Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

The formula of Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals is expressed as Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid). Here is an example- 9.798459 = (22*18)/(20+15)*sin(1.0471975511964).

How to calculate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

With Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Angle between Diagonals of Right Trapezoid (∠_Diagonals) we can find Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals using the formula - Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid). This formula also uses Sine function(s).

What are the other ways to Calculate Height of Right Trapezoid?

Here are the different ways to Calculate Height of Right Trapezoid-

Height of Right Trapezoid=sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
Height of Right Trapezoid=(Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
Height of Right Trapezoid=Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)

Can the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals be negative?

No, the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals, measured in Length cannot be negative.

Which unit is used to measure Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals can be measured.

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Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Formula

​GoHeight of Right Trapezoid Formula

​GoHeight of Right Trapezoid given both Bases and Acute Angle Formula

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Example

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Solution

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals Formula Elements

Other Formulas to find Height of Right Trapezoid

How to Evaluate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

FAQs on Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals

Variable Name

GoHeight of Right Trapezoid Formula

GoHeight of Right Trapezoid given both Bases and Acute Angle Formula