Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Calculator

✖Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid.ⓘ Area of Right Trapezoid [A]			+10% -10%
✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid [B_Long]			+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%
✖Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.ⓘ Acute Angle of Right Trapezoid [∠_Acute]			+10% -10%

✖Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.ⓘ Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle [S_Slant]

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Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid))
S_Slant = (2*A)/((B_Long+B_Short)*sin(∠_Acute))
This formula uses 1 Functions, 5 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

Slant Side of Right Trapezoid - (Measured in Meter) - Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.
Area of Right Trapezoid - (Measured in Square Meter) - Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid.
Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
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.
Acute Angle of Right Trapezoid - (Measured in Radian) - Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Area of Right Trapezoid: 175 Square Meter --> 175 Square Meter No Conversion Required
Long Base of Right Trapezoid: 20 Meter --> 20 Meter No Conversion Required
Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Acute Angle of Right Trapezoid: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Slant = (2*A)/((B_Long+B_Short)*sin(∠_Acute)) --> (2*175)/((20+15)*sin(1.1344640137961))

Evaluating ... ...

S_Slant = 11.033779189626

STEP 3: Convert Result to Output's Unit

11.033779189626 Meter --> No Conversion Required

FINAL ANSWER

11.033779189626 ≈ 11.03378 Meter <-- Slant Side of Right Trapezoid

(Calculation completed in 00.007 seconds)

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< Slant Side of Right Trapezoid Calculators

Slant Side of Right Trapezoid

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

Slant Side of Right Trapezoid given Area, Central Median, and Acute Angle

LaTeX Go Slant Side of Right Trapezoid = Area of Right Trapezoid/(Central Median of Right Trapezoid*sin(Acute Angle of Right Trapezoid))

Slant Side of Right Trapezoid given Acute Angle and Right Angle Side

LaTeX Go Slant Side of Right Trapezoid = Right Angle Side of Right Trapezoid/sin(Acute Angle of Right Trapezoid)

Slant Side of Right Trapezoid given Acute Angle and Height

LaTeX Go Slant Side of Right Trapezoid = Height of Right Trapezoid/sin(Acute Angle of Right Trapezoid)

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Formula

LaTeX Go

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 Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle calculator uses Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)) to calculate the Slant Side of Right Trapezoid, Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle formula is defined as the non-parallel slant side of the Right Trapezoid, calculated using area, both bases, and acute angle. Slant Side of Right Trapezoid is denoted by S_Slant symbol.

How to calculate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle using this online calculator? To use this online calculator for Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle, enter Area of Right Trapezoid (A), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button. Here is how the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle calculation can be explained with given input values -> 11.03378 = (2*175)/((20+15)*sin(1.1344640137961)).

FAQ

What is Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle formula is defined as the non-parallel slant side of the Right Trapezoid, calculated using area, both bases, and acute angle and is represented as S_Slant = (2*A)/((B_Long+B_Short)*sin(∠_Acute)) or Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)). Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid, Long Base of Right Trapezoid is the longer side among the pair of parallel edges, The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid & Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

How to calculate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle formula is defined as the non-parallel slant side of the Right Trapezoid, calculated using area, both bases, and acute angle is calculated using Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)). To calculate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle, you need Area of Right Trapezoid (A), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Area of Right Trapezoid, Long Base of Right Trapezoid, Short Base of Right Trapezoid & Acute Angle 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 Slant Side of Right Trapezoid?

In this formula, Slant Side of Right Trapezoid uses Area of Right Trapezoid, Long Base of Right Trapezoid, Short Base of Right Trapezoid & Acute Angle of Right Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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