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

✖Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.ⓘ Long Diagonal of Right Trapezoid [d_Long]			+10% -10%
✖Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.ⓘ Short Diagonal of Right Trapezoid [d_Short]			+10% -10%
✖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.ⓘ Right Angle Side of Right Trapezoid [S_∠Right]			+10% -10%
✖Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.ⓘ Angle between Diagonals of Right Trapezoid [∠_Diagonals]			+10% -10%
✖The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.ⓘ Short Base of Right Trapezoid [B_Short]			+10% -10%

✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals [B_Long]

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Formula

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

Formula

`"B"_{"Long"} = (("d"_{"Long"}*"d"_{"Short"})/"S"_{"∠Right"}*sin("∠"_{"Diagonals"}))-"B"_{"Short"}`

Example

`"19.29461m"=(("22m"*"18m")/"10m"*sin("60°"))-"15m"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid
B_Long = ((d_Long*d_Short)/S_∠Right*sin(∠_Diagonals))-B_Short
This formula uses 1 Functions, 6 Variables

Functions Used

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., sin(Angle)

Variables Used

Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Long Diagonal of Right Trapezoid - (Measured in Meter) - Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.
Short Diagonal of Right Trapezoid - (Measured in Meter) - Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.
Right Angle Side of Right Trapezoid - (Measured in Meter) - 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.
Angle between Diagonals of Right Trapezoid - (Measured in Radian) - Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Right Trapezoid: 22 Meter --> 22 Meter No Conversion Required
Short Diagonal of Right Trapezoid: 18 Meter --> 18 Meter No Conversion Required
Right Angle Side of Right Trapezoid: 10 Meter --> 10 Meter No Conversion Required
Angle between Diagonals of Right Trapezoid: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Long = ((d_Long*d_Short)/S_∠Right*sin(∠_Diagonals))-B_Short --> ((22*18)/10*sin(1.0471975511964))-15

Evaluating ... ...

B_Long = 19.2946059898599

STEP 3: Convert Result to Output's Unit

19.2946059898599 Meter --> No Conversion Required

FINAL ANSWER

19.2946059898599 ≈ 19.29461 Meter <-- Long Base of Right Trapezoid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Right Trapezoid » Base of Right Trapezoid » Long Base of Right Trapezoid » Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals

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< 6 Long Base of Right Trapezoid Calculators

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

Go Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid

Long Base of Right Trapezoid given both Sides and Short base

Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)

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

Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))

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

Go 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

Go Long Base of Right Trapezoid = (2*Area of Right Trapezoid)/Right Angle Side of Right Trapezoid-Short Base of Right Trapezoid

Long Base of Right Trapezoid given Central Median and Short base

Go Long Base of Right Trapezoid = 2*Central Median of Right Trapezoid-Short Base of Right Trapezoid

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

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

How to Calculate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals calculator uses Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid to calculate the Long Base of Right Trapezoid, Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using diagonals, right angle side and angle between diagonals. Long Base of Right Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals using this online calculator? To use this online calculator for Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals, enter Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Right Angle Side of Right Trapezoid (S_∠Right), Angle between Diagonals of Right Trapezoid (∠_Diagonals) & Short Base of Right Trapezoid (B_Short) and hit the calculate button. Here is how the Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals calculation can be explained with given input values -> 19.29461 = ((22*18)/10*sin(1.0471975511964))-15.

FAQ

What is Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using diagonals, right angle side and angle between diagonals and is represented as B_Long = ((d_Long*d_Short)/S_∠Right*sin(∠_Diagonals))-B_Short or Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base 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, Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the 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, Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid & The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.

How to calculate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using diagonals, right angle side and angle between diagonals is calculated using Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid. To calculate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals, you need Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Right Angle Side of Right Trapezoid (S_∠Right), Angle between Diagonals of Right Trapezoid (∠_Diagonals) & Short Base of Right Trapezoid (B_Short). With our tool, you need to enter the respective value for Long Diagonal of Right Trapezoid, Short Diagonal of Right Trapezoid, Right Angle Side of Right Trapezoid, Angle between Diagonals of Right Trapezoid & Short Base of Right Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Long Base of Right Trapezoid?

In this formula, Long Base of Right Trapezoid uses Long Diagonal of Right Trapezoid, Short Diagonal of Right Trapezoid, Right Angle Side of Right Trapezoid, Angle between Diagonals of Right Trapezoid & Short Base of Right Trapezoid. We can use 5 other way(s) to calculate the same, which is/are as follows -

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))
Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)
Long Base of Right Trapezoid = (2*Area of Right Trapezoid)/Right Angle Side of Right Trapezoid-Short Base of Right Trapezoid

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