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Long Base of Right Trapezoid given both Sides and Short base Formula

GoLong Base of Right Trapezoid given Central Median and Short base Formula

GoLong Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle Formula

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

B Long = B Short + \sqrt{{S Slant}^{2} - {S ∠Right}^{2}}

B_Long - Long Base of Right Trapezoid?B_Short - Short Base of Right Trapezoid?S_Slant - Slant Side of Right Trapezoid?S_∠Right - Right Angle Side of Right Trapezoid?

Long Base of Right Trapezoid given both Sides and Short base Example

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Here is how the Long Base of Right Trapezoid given both Sides and Short base equation looks like with Values.

Here is how the Long Base of Right Trapezoid given both Sides and Short base equation looks like with Units.

Here is how the Long Base of Right Trapezoid given both Sides and Short base equation looks like.

19.5826 = 15 + \sqrt{11^{2} - 10^{2}}

19.5826m = 15m + \sqrt{{11m}^{2} - {10m}^{2}}

19.5826 = 15 + \sqrt{11^{2} - 10^{2}}

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Long Base of Right Trapezoid given both Sides and Short base Solution

Follow our step by step solution on how to calculate Long Base of Right Trapezoid given both Sides and Short base?

FIRST Step Consider the formula

B Long = B Short + \sqrt{{S Slant}^{2} - {S ∠Right}^{2}}

Next Step Substitute values of Variables

∴

B Long = 15m + \sqrt{{11m}^{2} - {10m}^{2}}

Next Step Prepare to Evaluate

∴

B Long = 15 + \sqrt{11^{2} - 10^{2}}

Next Step Evaluate

∴

B Long = 19.5825756949558m

LAST Step Rounding Answer

∴

B Long = 19.5826m

Long Base of Right Trapezoid given both Sides and Short base Formula Elements

Variables

Functions

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

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

Right Angle Side of Right Trapezoid

Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

Symbol: S_∠Right

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Right Angle Side 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 Long Base of Right Trapezoid

Go Long Base of Right Trapezoid given Central Median and Short base

B Long = 2 \cdot M Central - B Short

Go Long Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle

B Long = B Short + (S Slant \cdot \cos (∠ Acute))

Go Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle

B Long = B Short + (S ∠Right \cdot \cot (∠ Acute))

Go Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals

B Long = (\frac{d Long \cdot d Short}{S ∠Right} \cdot \sin (∠ Diagonals)) - B Short

How to Evaluate Long Base of Right Trapezoid given both Sides and Short base?

Long Base of Right Trapezoid given both Sides and Short base evaluator uses Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2) to evaluate the Long Base of Right Trapezoid, Long Base of Right Trapezoid given both Sides and Short base formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using both sides and short base. Long Base of Right Trapezoid is denoted by B_Long symbol.

How to evaluate Long Base of Right Trapezoid given both Sides and Short base using this online evaluator? To use this online evaluator for Long Base of Right Trapezoid given both Sides and Short base, enter Short Base of Right Trapezoid (B_Short), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right) and hit the calculate button.

FAQs on Long Base of Right Trapezoid given both Sides and Short base

What is the formula to find Long Base of Right Trapezoid given both Sides and Short base?

The formula of Long Base of Right Trapezoid given both Sides and Short base is expressed as Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2). Here is an example- 19.58258 = 15+sqrt(11^2-10^2).

How to calculate Long Base of Right Trapezoid given both Sides and Short base?

With Short Base of Right Trapezoid (B_Short), Slant Side of Right Trapezoid (S_Slant) & Right Angle Side of Right Trapezoid (S_∠Right) we can find Long Base of Right Trapezoid given both Sides and Short base using the formula - Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Long Base of Right Trapezoid?

Here are the different ways to Calculate Long Base of Right Trapezoid-

Long Base of Right Trapezoid=2*Central Median of Right Trapezoid-Short Base of Right Trapezoid
Long Base of Right Trapezoid=Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))
Long Base of Right Trapezoid=Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))

Can the Long Base of Right Trapezoid given both Sides and Short base be negative?

No, the Long Base of Right Trapezoid given both Sides and Short base, measured in Length cannot be negative.

Which unit is used to measure Long Base of Right Trapezoid given both Sides and Short base?

Long Base of Right Trapezoid given both Sides and Short base is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Base of Right Trapezoid given both Sides and Short base can be measured.

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Long Base of Right Trapezoid given both Sides and Short base Formula

​GoLong Base of Right Trapezoid given Central Median and Short base Formula

​GoLong Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle Formula

Long Base of Right Trapezoid given both Sides and Short base Example

Long Base of Right Trapezoid given both Sides and Short base Solution

Long Base of Right Trapezoid given both Sides and Short base Formula Elements

Other Formulas to find Long Base of Right Trapezoid

How to Evaluate Long Base of Right Trapezoid given both Sides and Short base?

FAQs on Long Base of Right Trapezoid given both Sides and Short base

Variable Name

GoLong Base of Right Trapezoid given Central Median and Short base Formula

GoLong Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle Formula