Height of Right Trapezoid Calculator

✖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 [S_Slant]			+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%

✖Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.ⓘ Height of Right Trapezoid [h]

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Height of Right Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
h = sqrt(S_Slant^2-(B_Long-B_Short)^2)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Height of Right Trapezoid - (Measured in Meter) - Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Slant Side of Right Trapezoid: 11 Meter --> 11 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(S_Slant^2-(B_Long-B_Short)^2) --> sqrt(11^2-(20-15)^2)

Evaluating ... ...

h = 9.79795897113271

STEP 3: Convert Result to Output's Unit

9.79795897113271 Meter --> No Conversion Required

FINAL ANSWER

9.79795897113271 ≈ 9.797959 Meter <-- Height of Right Trapezoid

(Calculation completed in 00.004 seconds)

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< Height of Right Trapezoid Calculators

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals

LaTeX Go 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)

Height of Right Trapezoid

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

Height of Right Trapezoid given both Bases and Acute Angle

LaTeX Go Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)

Height of Right Trapezoid given Acute Angle and Slant Side

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

Height of Right Trapezoid Formula

LaTeX Go

Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
h = sqrt(S_Slant^2-(B_Long-B_Short)^2)

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 Height of Right Trapezoid?

Height of Right Trapezoid calculator uses Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2) to calculate 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 calculate Height of Right Trapezoid using this online calculator? To use this online calculator 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. Here is how the Height of Right Trapezoid calculation can be explained with given input values -> 9.797959 = sqrt(11^2-(20-15)^2).

FAQ

What is 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 and is represented as h = sqrt(S_Slant^2-(B_Long-B_Short)^2) or Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2). Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of 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.

How to calculate 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 is calculated using Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2). To calculate Height of Right Trapezoid, you need Slant Side of Right Trapezoid (S_Slant), Long Base of Right Trapezoid (B_Long) & Short Base of Right Trapezoid (B_Short). With our tool, you need to enter the respective value for Slant Side of Right Trapezoid, Long Base 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 Height of Right Trapezoid?

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

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)

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