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Height of Right Trapezoid Formula

GoHeight of Right Trapezoid given both Bases and Acute Angle Formula

GoHeight of Right Trapezoid given Acute Angle and Slant Side 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 = \sqrt{{S Slant}^{2} - {(B Long - B Short)}^{2}}

h - Height of Right Trapezoid?S_Slant - Slant Side of Right Trapezoid?B_Long - Long Base of Right Trapezoid?B_Short - Short Base of Right Trapezoid?

Height of Right Trapezoid Example

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Here is how the Height of Right Trapezoid equation looks like with Values.

Here is how the Height of Right Trapezoid equation looks like with Units.

Here is how the Height of Right Trapezoid equation looks like.

9.798 = \sqrt{11^{2} - {(20 - 15)}^{2}}

9.798m = \sqrt{{11m}^{2} - {(20m - 15m)}^{2}}

9.798 = \sqrt{11^{2} - {(20 - 15)}^{2}}

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Height of Right Trapezoid Solution

Follow our step by step solution on how to calculate Height of Right Trapezoid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{11m}^{2} - {(20m - 15m)}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{11^{2} - {(20 - 15)}^{2}}

Next Step Evaluate

∴

h = 9.79795897113271m

LAST Step Rounding Answer

∴

h = 9.798m

Height of Right Trapezoid 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

Slant Side of Right Trapezoid

Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.

Symbol: S_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Side 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

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 Height of Right Trapezoid

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 both Diagonals, both Bases, and Angle between Diagonals

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

Go Height of Right Trapezoid given Area and Central Median

h = \frac{A}{M Central}

How to Evaluate Height of Right Trapezoid?

Height of Right Trapezoid evaluator uses Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2) to evaluate the Height of Right Trapezoid, The Height of Right Trapezoid formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid. Height of Right Trapezoid is denoted by h symbol.

How to evaluate Height of Right Trapezoid using this online evaluator? To use this online evaluator for Height of Right Trapezoid, enter Slant Side of Right Trapezoid (S_Slant), Long Base of Right Trapezoid (B_Long) & Short Base of Right Trapezoid (B_Short) and hit the calculate button.

FAQs on Height of Right Trapezoid

What is the formula to find Height of Right Trapezoid?

The formula of Height of Right Trapezoid is expressed as Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2). Here is an example- 9.797959 = sqrt(11^2-(20-15)^2).

How to calculate Height of Right Trapezoid?

With Slant Side of Right Trapezoid (S_Slant), Long Base of Right Trapezoid (B_Long) & Short Base of Right Trapezoid (B_Short) we can find Height of Right Trapezoid using the formula - Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2). This formula also uses Square Root (sqrt) 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=(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)
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)

Can the Height of Right Trapezoid be negative?

No, the Height of Right Trapezoid, measured in Length cannot be negative.

Which unit is used to measure Height of Right Trapezoid?

Height of Right Trapezoid 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 can be measured.

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Height of Right Trapezoid Formula

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

​GoHeight of Right Trapezoid given Acute Angle and Slant Side Formula

Height of Right Trapezoid Example

Height of Right Trapezoid Solution

Height of Right Trapezoid Formula Elements

Other Formulas to find Height of Right Trapezoid

How to Evaluate Height of Right Trapezoid?

FAQs on Height of Right Trapezoid

Variable Name

GoHeight of Right Trapezoid given both Bases and Acute Angle Formula

GoHeight of Right Trapezoid given Acute Angle and Slant Side Formula