Short Base of Isosceles Trapezoid given Height Calculator

✖Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Long Base of Isosceles Trapezoid [B_Long]			+10% -10%
✖Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.ⓘ Height of Isosceles Trapezoid [h]			+10% -10%
✖Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.ⓘ Acute Angle of Isosceles Trapezoid [∠_Acute]			+10% -10%

✖Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Short Base of Isosceles Trapezoid given Height [B_Short]

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Short Base of Isosceles Trapezoid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
B_Short = B_Long-(2*h*cot(∠_Acute))
This formula uses 1 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.
Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
Acute Angle of Isosceles Trapezoid - (Measured in Radian) - Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Height of Isosceles Trapezoid: 4 Meter --> 4 Meter No Conversion Required
Acute Angle of Isosceles Trapezoid: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Short = B_Long-(2*h*cot(∠_Acute)) --> 15-(2*4*cot(0.959931088596701))

Evaluating ... ...

B_Short = 9.39833969432017

STEP 3: Convert Result to Output's Unit

9.39833969432017 Meter --> No Conversion Required

FINAL ANSWER

9.39833969432017 ≈ 9.39834 Meter <-- Short Base of Isosceles Trapezoid

(Calculation completed in 00.007 seconds)

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< Short Base of Isosceles Trapezoid Calculators

Short Base of Isosceles Trapezoid given Perimeter

LaTeX Go Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Diagonal

LaTeX Go Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid given Area

LaTeX Go Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid given Central Median

LaTeX Go Short Base of Isosceles Trapezoid = (2*Central Median of Isosceles Trapezoid)-Long Base of Isosceles Trapezoid

< Edges of Isosceles Trapezoid Calculators

Lateral Edge of Isosceles Trapezoid given Long and Short Base

LaTeX Go Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid))

Long Base of Isosceles Trapezoid given Diagonal

LaTeX Go Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid given Area

LaTeX Go Long Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Short Base of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

LaTeX Go Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Height Formula

LaTeX Go

Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
B_Short = B_Long-(2*h*cot(∠_Acute))

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Short Base of Isosceles Trapezoid given Height?

Short Base of Isosceles Trapezoid given Height calculator uses Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)) to calculate the Short Base of Isosceles Trapezoid, Short Base of Isosceles Trapezoid given Height formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using height of the Isosceles Trapezoid. Short Base of Isosceles Trapezoid is denoted by B_Short symbol.

How to calculate Short Base of Isosceles Trapezoid given Height using this online calculator? To use this online calculator for Short Base of Isosceles Trapezoid given Height, enter Long Base of Isosceles Trapezoid (B_Long), Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button. Here is how the Short Base of Isosceles Trapezoid given Height calculation can be explained with given input values -> 9.39834 = 15-(2*4*cot(0.959931088596701)).

FAQ

What is Short Base of Isosceles Trapezoid given Height?

Short Base of Isosceles Trapezoid given Height formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using height of the Isosceles Trapezoid and is represented as B_Short = B_Long-(2*h*cot(∠_Acute)) or Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)). Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid, Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid & Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

How to calculate Short Base of Isosceles Trapezoid given Height?

Short Base of Isosceles Trapezoid given Height formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using height of the Isosceles Trapezoid is calculated using Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)). To calculate Short Base of Isosceles Trapezoid given Height, you need Long Base of Isosceles Trapezoid (B_Long), Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Long Base of Isosceles Trapezoid, Height of Isosceles Trapezoid & Acute Angle of Isosceles 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 Short Base of Isosceles Trapezoid?

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

Short Base of Isosceles Trapezoid = (2*Central Median of Isosceles Trapezoid)-Long Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))

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