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Height of Isosceles Trapezoid given Diagonal Formula

GoHeight of Isosceles Trapezoid given Lateral Edge and Obtuse Angle Formula

GoHeight of Isosceles Trapezoid given Lateral Edge and Acute Angle Formula

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Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid. Check FAQs

h = \frac{d^{2}}{B Long + B Short} \cdot \sin (∠ d(Obtuse))

h - Height of Isosceles Trapezoid?d - Diagonal of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?∠_d(Obtuse) - Obtuse Angle of Diagonals of Isosceles Trapezoid?

Height of Isosceles Trapezoid given Diagonal Example

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

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

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

4.5263 = \frac{13^{2}}{15 + 9} \cdot \sin (140)

4.5263m = \frac{{13m}^{2}}{15m + 9m} \cdot \sin (140°)

4.5263 = \frac{13^{2}}{15 + 9} \cdot \sin (140)

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2D Geometry » fx Height of Isosceles Trapezoid given Diagonal

Height of Isosceles Trapezoid given Diagonal Solution

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

FIRST Step Consider the formula

h = \frac{d^{2}}{B Long + B Short} \cdot \sin (∠ d(Obtuse))

Next Step Substitute values of Variables

∴

h = \frac{{13m}^{2}}{15m + 9m} \cdot \sin (140°)

Next Step Convert Units

∴

h = \frac{{13m}^{2}}{15m + 9m} \cdot \sin (2.4435rad)

Next Step Prepare to Evaluate

∴

h = \frac{13^{2}}{15 + 9} \cdot \sin (2.4435)

Next Step Evaluate

∴

h = 4.52629608487854m

LAST Step Rounding Answer

∴

h = 4.5263m

Height of Isosceles Trapezoid given Diagonal Formula Elements

Variables

Functions

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

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

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

Obtuse Angle of Diagonals of Isosceles Trapezoid

Obtuse Angle of Diagonals of Isosceles Trapezoid is the angle made by the diagonals of the Isosceles Trapezoid which is greater than 90 degree.

Symbol: ∠_d(Obtuse)

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle of Diagonals of Isosceles 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 Isosceles Trapezoid

Go Height of Isosceles Trapezoid given Lateral Edge and Obtuse Angle

h = l e(Lateral) \cdot \sin (∠ Obtuse)

Go Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

h = l e(Lateral) \cdot \sin (∠ Acute)

Go Height of Isosceles Trapezoid given Long and Short Base

h = (\frac{B Long - B Short}{2}) \cdot \tan (∠ Acute)

Go Height of Isosceles Trapezoid given Diagonal and Central Median

h = \frac{d^{2}}{2 \cdot M} \cdot \sin (∠ d(Obtuse))

How to Evaluate Height of Isosceles Trapezoid given Diagonal?

Height of Isosceles Trapezoid given Diagonal evaluator uses Height of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Obtuse Angle of Diagonals of Isosceles Trapezoid) to evaluate the Height of Isosceles Trapezoid, Height of Isosceles Trapezoid given Diagonal formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid, and calculated using diagonal of the Isosceles Trapezoid. Height of Isosceles Trapezoid is denoted by h symbol.

How to evaluate Height of Isosceles Trapezoid given Diagonal using this online evaluator? To use this online evaluator for Height of Isosceles Trapezoid given Diagonal, enter Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Obtuse Angle of Diagonals of Isosceles Trapezoid (∠_d(Obtuse)) and hit the calculate button.

FAQs on Height of Isosceles Trapezoid given Diagonal

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

The formula of Height of Isosceles Trapezoid given Diagonal is expressed as Height of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Obtuse Angle of Diagonals of Isosceles Trapezoid). Here is an example- 4.526296 = (13^2)/(15+9)*sin(2.4434609527916).

How to calculate Height of Isosceles Trapezoid given Diagonal?

With Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Obtuse Angle of Diagonals of Isosceles Trapezoid (∠_d(Obtuse)) we can find Height of Isosceles Trapezoid given Diagonal using the formula - Height of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Obtuse Angle of Diagonals of Isosceles Trapezoid). This formula also uses Sine (sin) function(s).

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

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

Height of Isosceles Trapezoid=Lateral Edge of Isosceles Trapezoid*sin(Obtuse Angle of Isosceles Trapezoid)
Height of Isosceles Trapezoid=Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)
Height of Isosceles Trapezoid=((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)

Can the Height of Isosceles Trapezoid given Diagonal be negative?

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

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

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

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Height of Isosceles Trapezoid given Diagonal Formula

​GoHeight of Isosceles Trapezoid given Lateral Edge and Obtuse Angle Formula

​GoHeight of Isosceles Trapezoid given Lateral Edge and Acute Angle Formula

Height of Isosceles Trapezoid given Diagonal Example

Height of Isosceles Trapezoid given Diagonal Solution

Height of Isosceles Trapezoid given Diagonal Formula Elements

Other Formulas to find Height of Isosceles Trapezoid

How to Evaluate Height of Isosceles Trapezoid given Diagonal?

FAQs on Height of Isosceles Trapezoid given Diagonal

Variable Name

GoHeight of Isosceles Trapezoid given Lateral Edge and Obtuse Angle Formula

GoHeight of Isosceles Trapezoid given Lateral Edge and Acute Angle Formula