Height of Trapezoid Calculator

✖Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Long Leg of Trapezoid [L_Long]			+10% -10%
✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid [B_Long]			+10% -10%
✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%
✖Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Short Leg of Trapezoid [L_Short]			+10% -10%

✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]

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Height of Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)
h = sqrt(L_Long^2-(((B_Long-B_Short)^2+L_Long^2-L_Short^2)/(2*(B_Long-B_Short)))^2)
This formula uses 1 Functions, 5 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 Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.
Long Leg of Trapezoid - (Measured in Meter) - Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
Short Leg of Trapezoid - (Measured in Meter) - Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Leg of Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Short Leg of Trapezoid: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(L_Long^2-(((B_Long-B_Short)^2+L_Long^2-L_Short^2)/(2*(B_Long-B_Short)))^2) --> sqrt(11^2-(((15-5)^2+11^2-9^2)/(2*(15-5)))^2)

Evaluating ... ...

h = 8.48528137423857

STEP 3: Convert Result to Output's Unit

8.48528137423857 Meter --> No Conversion Required

FINAL ANSWER

8.48528137423857 ≈ 8.485281 Meter <-- Height of Trapezoid

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Technology (IIT), Mumbai

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< Height of Trapezoid Calculators

Height of Trapezoid

LaTeX Go Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)

Height of Trapezoid given Both Diagonals and Base Angle between Diagonals

LaTeX Go Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)

Height of Trapezoid given Short Leg

LaTeX Go Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Height of Trapezoid given Long Leg

LaTeX Go Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)

< Height of Trapezoid Calculators

Height of Trapezoid

Height of Trapezoid given Both Diagonals and Leg Angle between Diagonals

LaTeX Go Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

Height of Trapezoid given Short Leg

LaTeX Go Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Height of Trapezoid given Long Leg

LaTeX Go Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)

Height of Trapezoid Formula

LaTeX Go

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Height of Trapezoid?

Height of Trapezoid calculator uses Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2) to calculate the Height of Trapezoid, Height of Trapezoid formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using all sides of the Trapezoid. Height of Trapezoid is denoted by h symbol.

How to calculate Height of Trapezoid using this online calculator? To use this online calculator for Height of Trapezoid, enter Long Leg of Trapezoid (L_Long), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Short Leg of Trapezoid (L_Short) and hit the calculate button. Here is how the Height of Trapezoid calculation can be explained with given input values -> 8.485281 = sqrt(11^2-(((15-5)^2+11^2-9^2)/(2*(15-5)))^2).

FAQ

What is Height of Trapezoid?

Height of Trapezoid formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using all sides of the Trapezoid and is represented as h = sqrt(L_Long^2-(((B_Long-B_Short)^2+L_Long^2-L_Short^2)/(2*(B_Long-B_Short)))^2) or Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2). Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid, Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid, Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid & Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

How to calculate Height of Trapezoid?

Height of Trapezoid formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using all sides of the Trapezoid is calculated using Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2). To calculate Height of Trapezoid, you need Long Leg of Trapezoid (L_Long), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Short Leg of Trapezoid (L_Short). With our tool, you need to enter the respective value for Long Leg of Trapezoid, Long Base of Trapezoid, Short Base of Trapezoid & Short Leg of 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 Trapezoid?

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

Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)
Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)
Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)

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