Height of Trapezoid given Long Leg 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%
✖Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.ⓘ Smaller Acute Angle of Trapezoid [∠_{Smaller Acute}]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Trapezoid Formula PDF PDF Image

Height of Trapezoid given Long Leg Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)
h = L_Long*sin(∠_{Smaller Acute})
This formula uses 1 Functions, 3 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

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.
Smaller Acute Angle of Trapezoid - (Measured in Radian) - Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Leg of Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Smaller Acute Angle of Trapezoid: 50 Degree --> 0.872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = L_Long*sin(∠_{Smaller Acute}) --> 11*sin(0.872664625997001)

Evaluating ... ...

h = 8.4264888743076

STEP 3: Convert Result to Output's Unit

8.4264888743076 Meter --> No Conversion Required

FINAL ANSWER

8.4264888743076 ≈ 8.426489 Meter <-- Height of Trapezoid

(Calculation completed in 00.013 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Trapezoid » Height of Trapezoid » Height of Trapezoid given Long Leg

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Aditya Ranjan

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Calculator and 50+ more calculators!

< 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 given Long Leg Formula

LaTeX Go

Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)
h = L_Long*sin(∠_{Smaller Acute})

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 given Long Leg?

Height of Trapezoid given Long Leg calculator uses Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid) to calculate the Height of Trapezoid, Height of Trapezoid given Long Leg formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg of the Trapezoid. Height of Trapezoid is denoted by h symbol.

How to calculate Height of Trapezoid given Long Leg using this online calculator? To use this online calculator for Height of Trapezoid given Long Leg, enter Long Leg of Trapezoid (L_Long) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) and hit the calculate button. Here is how the Height of Trapezoid given Long Leg calculation can be explained with given input values -> 8.426489 = 11*sin(0.872664625997001).

FAQ

What is Height of Trapezoid given Long Leg?

Height of Trapezoid given Long Leg formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg of the Trapezoid and is represented as h = L_Long*sin(∠_{Smaller Acute}) or Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid). Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid & Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

How to calculate Height of Trapezoid given Long Leg?

Height of Trapezoid given Long Leg formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg of the Trapezoid is calculated using Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid). To calculate Height of Trapezoid given Long Leg, you need Long Leg of Trapezoid (L_Long) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}). With our tool, you need to enter the respective value for Long Leg of Trapezoid & Smaller Acute Angle 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 & Smaller Acute Angle of Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = 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)

Home

FREE PDFs

🔍 Search